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Finding the Third Proportional to 292,287 and 438,471

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Solution

The third proportional to 292,287 and 438,471 is: 657,767.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,287 : 438,471 = 438,471 : x
  2. Step 2: Convert to fraction form
    292,287/438,471 = 438,471/x
  3. Step 3: Cross multiply
    292,287x = 438,471 × 438,471
  4. Step 4: Simplify right side
    292,287x = 192,256,817,841
  5. Step 5: Solve for x
    x = 192,256,817,841/292,287
  6. Step 6: Final answer
    x = 657,767.26

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