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Finding the Third Proportional to 673,780.88 and 990,966.38

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Solution

The third proportional to 673,780.88 and 990,966.38 is: 1,457,468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,780.88 : 990,966.38 = 990,966.38 : x
  2. Step 2: Convert to fraction form
    673,780.88/990,966.38 = 990,966.38/x
  3. Step 3: Cross multiply
    673,780.88x = 990,966.38 × 990,966.38
  4. Step 4: Simplify right side
    673,780.88x = 982,014,356,380.64
  5. Step 5: Solve for x
    x = 982,014,356,380.64/673,780.88
  6. Step 6: Final answer
    x = 1,457,468.43

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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.