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Finding the Third Proportional to 361,428 and 772,680

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Solution

The third proportional to 361,428 and 772,680 is: 1,651,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,428 : 772,680 = 772,680 : x
  2. Step 2: Convert to fraction form
    361,428/772,680 = 772,680/x
  3. Step 3: Cross multiply
    361,428x = 772,680 × 772,680
  4. Step 4: Simplify right side
    361,428x = 597,034,382,400
  5. Step 5: Solve for x
    x = 597,034,382,400/361,428
  6. Step 6: Final answer
    x = 1,651,876.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.