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Finding the Third Proportional to 415,780 and 881,000

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Solution

The third proportional to 415,780 and 881,000 is: 1,866,758.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,780 : 881,000 = 881,000 : x
  2. Step 2: Convert to fraction form
    415,780/881,000 = 881,000/x
  3. Step 3: Cross multiply
    415,780x = 881,000 × 881,000
  4. Step 4: Simplify right side
    415,780x = 776,161,000,000
  5. Step 5: Solve for x
    x = 776,161,000,000/415,780
  6. Step 6: Final answer
    x = 1,866,758.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.