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Finding the Third Proportional to 610,687 and 843,853

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Solution

The third proportional to 610,687 and 843,853 is: 1,166,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,687 : 843,853 = 843,853 : x
  2. Step 2: Convert to fraction form
    610,687/843,853 = 843,853/x
  3. Step 3: Cross multiply
    610,687x = 843,853 × 843,853
  4. Step 4: Simplify right side
    610,687x = 712,087,885,609
  5. Step 5: Solve for x
    x = 712,087,885,609/610,687
  6. Step 6: Final answer
    x = 1,166,043.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.