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Finding the Third Proportional to 357,434 and 769,780

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Solution

The third proportional to 357,434 and 769,780 is: 1,657,820.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,434 : 769,780 = 769,780 : x
  2. Step 2: Convert to fraction form
    357,434/769,780 = 769,780/x
  3. Step 3: Cross multiply
    357,434x = 769,780 × 769,780
  4. Step 4: Simplify right side
    357,434x = 592,561,248,400
  5. Step 5: Solve for x
    x = 592,561,248,400/357,434
  6. Step 6: Final answer
    x = 1,657,820.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.