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Finding the Third Proportional to 460,760 and 721,237

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Solution

The third proportional to 460,760 and 721,237 is: 1,128,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,760 : 721,237 = 721,237 : x
  2. Step 2: Convert to fraction form
    460,760/721,237 = 721,237/x
  3. Step 3: Cross multiply
    460,760x = 721,237 × 721,237
  4. Step 4: Simplify right side
    460,760x = 520,182,810,169
  5. Step 5: Solve for x
    x = 520,182,810,169/460,760
  6. Step 6: Final answer
    x = 1,128,966.95

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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.