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Finding the Third Proportional to 461,106 and 721,764

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Solution

The third proportional to 461,106 and 721,764 is: 1,129,769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,106 : 721,764 = 721,764 : x
  2. Step 2: Convert to fraction form
    461,106/721,764 = 721,764/x
  3. Step 3: Cross multiply
    461,106x = 721,764 × 721,764
  4. Step 4: Simplify right side
    461,106x = 520,943,271,696
  5. Step 5: Solve for x
    x = 520,943,271,696/461,106
  6. Step 6: Final answer
    x = 1,129,769.02

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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.