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Finding the Third Proportional to 290,557,031,895 and 408,990,029,928

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Solution

The third proportional to 290,557,031,895 and 408,990,029,928 is: 575,697,113,539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,557,031,895 : 408,990,029,928 = 408,990,029,928 : x
  2. Step 2: Convert to fraction form
    290,557,031,895/408,990,029,928 = 408,990,029,928/x
  3. Step 3: Cross multiply
    290,557,031,895x = 408,990,029,928 × 408,990,029,928
  4. Step 4: Simplify right side
    290,557,031,895x = 167,272,844,580,506,319,192,064
  5. Step 5: Solve for x
    x = 167,272,844,580,506,319,192,064/290,557,031,895
  6. Step 6: Final answer
    x = 575,697,113,539.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.