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Finding the Third Proportional to 460,770 and 721,254

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Solution

The third proportional to 460,770 and 721,254 is: 1,128,995.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,770 : 721,254 = 721,254 : x
  2. Step 2: Convert to fraction form
    460,770/721,254 = 721,254/x
  3. Step 3: Cross multiply
    460,770x = 721,254 × 721,254
  4. Step 4: Simplify right side
    460,770x = 520,207,332,516
  5. Step 5: Solve for x
    x = 520,207,332,516/460,770
  6. Step 6: Final answer
    x = 1,128,995.66

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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.