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Finding the Third Proportional to 267,440 and 392,973

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Solution

The third proportional to 267,440 and 392,973 is: 577,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,440 : 392,973 = 392,973 : x
  2. Step 2: Convert to fraction form
    267,440/392,973 = 392,973/x
  3. Step 3: Cross multiply
    267,440x = 392,973 × 392,973
  4. Step 4: Simplify right side
    267,440x = 154,427,778,729
  5. Step 5: Solve for x
    x = 154,427,778,729/267,440
  6. Step 6: Final answer
    x = 577,429.62

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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.