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Finding the Third Proportional to 611,818 and 930,680

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Solution

The third proportional to 611,818 and 930,680 is: 1,415,723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,818 : 930,680 = 930,680 : x
  2. Step 2: Convert to fraction form
    611,818/930,680 = 930,680/x
  3. Step 3: Cross multiply
    611,818x = 930,680 × 930,680
  4. Step 4: Simplify right side
    611,818x = 866,165,262,400
  5. Step 5: Solve for x
    x = 866,165,262,400/611,818
  6. Step 6: Final answer
    x = 1,415,723.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.