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Finding the Third Proportional to 486,998 and 748,966.50

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Solution

The third proportional to 486,998 and 748,966.50 is: 1,151,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,998 : 748,966.50 = 748,966.50 : x
  2. Step 2: Convert to fraction form
    486,998/748,966.50 = 748,966.50/x
  3. Step 3: Cross multiply
    486,998x = 748,966.50 × 748,966.50
  4. Step 4: Simplify right side
    486,998x = 560,950,818,122.25
  5. Step 5: Solve for x
    x = 560,950,818,122.25/486,998
  6. Step 6: Final answer
    x = 1,151,854.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.