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Finding the Third Proportional to 459,778 and 690,291

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Solution

The third proportional to 459,778 and 690,291 is: 1,036,373.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,778 : 690,291 = 690,291 : x
  2. Step 2: Convert to fraction form
    459,778/690,291 = 690,291/x
  3. Step 3: Cross multiply
    459,778x = 690,291 × 690,291
  4. Step 4: Simplify right side
    459,778x = 476,501,664,681
  5. Step 5: Solve for x
    x = 476,501,664,681/459,778
  6. Step 6: Final answer
    x = 1,036,373.35

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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.