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Finding the Third Proportional to 587,413 and 908,781

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Solution

The third proportional to 587,413 and 908,781 is: 1,405,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,413 : 908,781 = 908,781 : x
  2. Step 2: Convert to fraction form
    587,413/908,781 = 908,781/x
  3. Step 3: Cross multiply
    587,413x = 908,781 × 908,781
  4. Step 4: Simplify right side
    587,413x = 825,882,905,961
  5. Step 5: Solve for x
    x = 825,882,905,961/587,413
  6. Step 6: Final answer
    x = 1,405,966.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.