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Finding the Third Proportional to 784,656 and 1,207,680

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Solution

The third proportional to 784,656 and 1,207,680 is: 1,858,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,656 : 1,207,680 = 1,207,680 : x
  2. Step 2: Convert to fraction form
    784,656/1,207,680 = 1,207,680/x
  3. Step 3: Cross multiply
    784,656x = 1,207,680 × 1,207,680
  4. Step 4: Simplify right side
    784,656x = 1,458,490,982,400
  5. Step 5: Solve for x
    x = 1,458,490,982,400/784,656
  6. Step 6: Final answer
    x = 1,858,764.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.