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Finding the Third Proportional to 460,761 and 721,239

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Solution

The third proportional to 460,761 and 721,239 is: 1,128,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,761 : 721,239 = 721,239 : x
  2. Step 2: Convert to fraction form
    460,761/721,239 = 721,239/x
  3. Step 3: Cross multiply
    460,761x = 721,239 × 721,239
  4. Step 4: Simplify right side
    460,761x = 520,185,695,121
  5. Step 5: Solve for x
    x = 520,185,695,121/460,761
  6. Step 6: Final answer
    x = 1,128,970.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.