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Finding the Third Proportional to 145,072 and 221,924

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Solution

The third proportional to 145,072 and 221,924 is: 339,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,072 : 221,924 = 221,924 : x
  2. Step 2: Convert to fraction form
    145,072/221,924 = 221,924/x
  3. Step 3: Cross multiply
    145,072x = 221,924 × 221,924
  4. Step 4: Simplify right side
    145,072x = 49,250,261,776
  5. Step 5: Solve for x
    x = 49,250,261,776/145,072
  6. Step 6: Final answer
    x = 339,488.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.