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Finding the Third Proportional to 290,018 and 408,417

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Solution

The third proportional to 290,018 and 408,417 is: 575,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,018 : 408,417 = 408,417 : x
  2. Step 2: Convert to fraction form
    290,018/408,417 = 408,417/x
  3. Step 3: Cross multiply
    290,018x = 408,417 × 408,417
  4. Step 4: Simplify right side
    290,018x = 166,804,445,889
  5. Step 5: Solve for x
    x = 166,804,445,889/290,018
  6. Step 6: Final answer
    x = 575,152.05

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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.