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Finding the Third Proportional to 285,565 and 428,402

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Solution

The third proportional to 285,565 and 428,402 is: 642,684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,565 : 428,402 = 428,402 : x
  2. Step 2: Convert to fraction form
    285,565/428,402 = 428,402/x
  3. Step 3: Cross multiply
    285,565x = 428,402 × 428,402
  4. Step 4: Simplify right side
    285,565x = 183,528,273,604
  5. Step 5: Solve for x
    x = 183,528,273,604/285,565
  6. Step 6: Final answer
    x = 642,684.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.