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Finding the Third Proportional to 489,777.75 and 756,799.88

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Solution

The third proportional to 489,777.75 and 756,799.88 is: 1,169,399.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,777.75 : 756,799.88 = 756,799.88 : x
  2. Step 2: Convert to fraction form
    489,777.75/756,799.88 = 756,799.88/x
  3. Step 3: Cross multiply
    489,777.75x = 756,799.88 × 756,799.88
  4. Step 4: Simplify right side
    489,777.75x = 572,746,050,800.02
  5. Step 5: Solve for x
    x = 572,746,050,800.02/489,777.75
  6. Step 6: Final answer
    x = 1,169,399.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.