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Finding the Third Proportional to 474,689 and 712,128

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Solution

The third proportional to 474,689 and 712,128 is: 1,068,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,689 : 712,128 = 712,128 : x
  2. Step 2: Convert to fraction form
    474,689/712,128 = 712,128/x
  3. Step 3: Cross multiply
    474,689x = 712,128 × 712,128
  4. Step 4: Simplify right side
    474,689x = 507,126,288,384
  5. Step 5: Solve for x
    x = 507,126,288,384/474,689
  6. Step 6: Final answer
    x = 1,068,333.77

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