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Finding the Third Proportional to 292,427 and 428,501

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Solution

The third proportional to 292,427 and 428,501 is: 627,893.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,427 : 428,501 = 428,501 : x
  2. Step 2: Convert to fraction form
    292,427/428,501 = 428,501/x
  3. Step 3: Cross multiply
    292,427x = 428,501 × 428,501
  4. Step 4: Simplify right side
    292,427x = 183,613,107,001
  5. Step 5: Solve for x
    x = 183,613,107,001/292,427
  6. Step 6: Final answer
    x = 627,893.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.