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Finding the Third Proportional to 666,437 and 1,465,687

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Solution

The third proportional to 666,437 and 1,465,687 is: 3,223,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,437 : 1,465,687 = 1,465,687 : x
  2. Step 2: Convert to fraction form
    666,437/1,465,687 = 1,465,687/x
  3. Step 3: Cross multiply
    666,437x = 1,465,687 × 1,465,687
  4. Step 4: Simplify right side
    666,437x = 2,148,238,381,969
  5. Step 5: Solve for x
    x = 2,148,238,381,969/666,437
  6. Step 6: Final answer
    x = 3,223,468.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.