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Finding the Third Proportional to 531,142 and 812,872

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Solution

The third proportional to 531,142 and 812,872 is: 1,244,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,142 : 812,872 = 812,872 : x
  2. Step 2: Convert to fraction form
    531,142/812,872 = 812,872/x
  3. Step 3: Cross multiply
    531,142x = 812,872 × 812,872
  4. Step 4: Simplify right side
    531,142x = 660,760,888,384
  5. Step 5: Solve for x
    x = 660,760,888,384/531,142
  6. Step 6: Final answer
    x = 1,244,038.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.