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Finding the Third Proportional to 485,311.50 and 646,543.13

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Solution

The third proportional to 485,311.50 and 646,543.13 is: 861,339.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,311.50 : 646,543.13 = 646,543.13 : x
  2. Step 2: Convert to fraction form
    485,311.50/646,543.13 = 646,543.13/x
  3. Step 3: Cross multiply
    485,311.50x = 646,543.13 × 646,543.13
  4. Step 4: Simplify right side
    485,311.50x = 418,018,012,484.77
  5. Step 5: Solve for x
    x = 418,018,012,484.77/485,311.50
  6. Step 6: Final answer
    x = 861,339.60

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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.