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Finding the Third Proportional to 290,350 and 432,402

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Solution

The third proportional to 290,350 and 432,402 is: 643,952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,350 : 432,402 = 432,402 : x
  2. Step 2: Convert to fraction form
    290,350/432,402 = 432,402/x
  3. Step 3: Cross multiply
    290,350x = 432,402 × 432,402
  4. Step 4: Simplify right side
    290,350x = 186,971,489,604
  5. Step 5: Solve for x
    x = 186,971,489,604/290,350
  6. Step 6: Final answer
    x = 643,952.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.