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Finding the Third Proportional to 462,887 and 721,394

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Solution

The third proportional to 462,887 and 721,394 is: 1,124,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,887 : 721,394 = 721,394 : x
  2. Step 2: Convert to fraction form
    462,887/721,394 = 721,394/x
  3. Step 3: Cross multiply
    462,887x = 721,394 × 721,394
  4. Step 4: Simplify right side
    462,887x = 520,409,303,236
  5. Step 5: Solve for x
    x = 520,409,303,236/462,887
  6. Step 6: Final answer
    x = 1,124,268.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.