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Finding the Third Proportional to 138,764 and 292,028

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Solution

The third proportional to 138,764 and 292,028 is: 614,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,764 : 292,028 = 292,028 : x
  2. Step 2: Convert to fraction form
    138,764/292,028 = 292,028/x
  3. Step 3: Cross multiply
    138,764x = 292,028 × 292,028
  4. Step 4: Simplify right side
    138,764x = 85,280,352,784
  5. Step 5: Solve for x
    x = 85,280,352,784/138,764
  6. Step 6: Final answer
    x = 614,571.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.