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Finding the Third Proportional to 531,139 and 812,868

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Solution

The third proportional to 531,139 and 812,868 is: 1,244,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,139 : 812,868 = 812,868 : x
  2. Step 2: Convert to fraction form
    531,139/812,868 = 812,868/x
  3. Step 3: Cross multiply
    531,139x = 812,868 × 812,868
  4. Step 4: Simplify right side
    531,139x = 660,754,385,424
  5. Step 5: Solve for x
    x = 660,754,385,424/531,139
  6. Step 6: Final answer
    x = 1,244,032.89

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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.