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Finding the Third Proportional to 621,704 and 912,153

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Solution

The third proportional to 621,704 and 912,153 is: 1,338,294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,704 : 912,153 = 912,153 : x
  2. Step 2: Convert to fraction form
    621,704/912,153 = 912,153/x
  3. Step 3: Cross multiply
    621,704x = 912,153 × 912,153
  4. Step 4: Simplify right side
    621,704x = 832,023,095,409
  5. Step 5: Solve for x
    x = 832,023,095,409/621,704
  6. Step 6: Final answer
    x = 1,338,294.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.