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Finding the Third Proportional to 402,042 and 546,009

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Solution

The third proportional to 402,042 and 546,009 is: 741,529.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,042 : 546,009 = 546,009 : x
  2. Step 2: Convert to fraction form
    402,042/546,009 = 546,009/x
  3. Step 3: Cross multiply
    402,042x = 546,009 × 546,009
  4. Step 4: Simplify right side
    402,042x = 298,125,828,081
  5. Step 5: Solve for x
    x = 298,125,828,081/402,042
  6. Step 6: Final answer
    x = 741,529.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.