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Finding the Third Proportional to 470,545.50 and 729,639

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Solution

The third proportional to 470,545.50 and 729,639 is: 1,131,395.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,545.50 : 729,639 = 729,639 : x
  2. Step 2: Convert to fraction form
    470,545.50/729,639 = 729,639/x
  3. Step 3: Cross multiply
    470,545.50x = 729,639 × 729,639
  4. Step 4: Simplify right side
    470,545.50x = 532,373,070,321
  5. Step 5: Solve for x
    x = 532,373,070,321/470,545.50
  6. Step 6: Final answer
    x = 1,131,395.52

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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.