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Finding the Third Proportional to 285,748 and 431,214

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Solution

The third proportional to 285,748 and 431,214 is: 650,732.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,748 : 431,214 = 431,214 : x
  2. Step 2: Convert to fraction form
    285,748/431,214 = 431,214/x
  3. Step 3: Cross multiply
    285,748x = 431,214 × 431,214
  4. Step 4: Simplify right side
    285,748x = 185,945,513,796
  5. Step 5: Solve for x
    x = 185,945,513,796/285,748
  6. Step 6: Final answer
    x = 650,732.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.