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Finding the Third Proportional to 461,835 and 690,903

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Solution

The third proportional to 461,835 and 690,903 is: 1,033,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,835 : 690,903 = 690,903 : x
  2. Step 2: Convert to fraction form
    461,835/690,903 = 690,903/x
  3. Step 3: Cross multiply
    461,835x = 690,903 × 690,903
  4. Step 4: Simplify right side
    461,835x = 477,346,955,409
  5. Step 5: Solve for x
    x = 477,346,955,409/461,835
  6. Step 6: Final answer
    x = 1,033,587.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.