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Finding the Third Proportional to 659,864 and 989,780

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Solution

The third proportional to 659,864 and 989,780 is: 1,484,646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,864 : 989,780 = 989,780 : x
  2. Step 2: Convert to fraction form
    659,864/989,780 = 989,780/x
  3. Step 3: Cross multiply
    659,864x = 989,780 × 989,780
  4. Step 4: Simplify right side
    659,864x = 979,664,448,400
  5. Step 5: Solve for x
    x = 979,664,448,400/659,864
  6. Step 6: Final answer
    x = 1,484,646.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.