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Finding the Third Proportional to 474,690 and 712,130

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Solution

The third proportional to 474,690 and 712,130 is: 1,068,337.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,690 : 712,130 = 712,130 : x
  2. Step 2: Convert to fraction form
    474,690/712,130 = 712,130/x
  3. Step 3: Cross multiply
    474,690x = 712,130 × 712,130
  4. Step 4: Simplify right side
    474,690x = 507,129,136,900
  5. Step 5: Solve for x
    x = 507,129,136,900/474,690
  6. Step 6: Final answer
    x = 1,068,337.52

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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.