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Finding the Third Proportional to 731,421 and 970,518

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Solution

The third proportional to 731,421 and 970,518 is: 1,287,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,421 : 970,518 = 970,518 : x
  2. Step 2: Convert to fraction form
    731,421/970,518 = 970,518/x
  3. Step 3: Cross multiply
    731,421x = 970,518 × 970,518
  4. Step 4: Simplify right side
    731,421x = 941,905,188,324
  5. Step 5: Solve for x
    x = 941,905,188,324/731,421
  6. Step 6: Final answer
    x = 1,287,774.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.