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Finding the Third Proportional to 447,750 and 921,780

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Solution

The third proportional to 447,750 and 921,780 is: 1,897,662.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,750 : 921,780 = 921,780 : x
  2. Step 2: Convert to fraction form
    447,750/921,780 = 921,780/x
  3. Step 3: Cross multiply
    447,750x = 921,780 × 921,780
  4. Step 4: Simplify right side
    447,750x = 849,678,368,400
  5. Step 5: Solve for x
    x = 849,678,368,400/447,750
  6. Step 6: Final answer
    x = 1,897,662.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.