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Finding the Third Proportional to 356,154 and 767,604

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Solution

The third proportional to 356,154 and 767,604 is: 1,654,385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,154 : 767,604 = 767,604 : x
  2. Step 2: Convert to fraction form
    356,154/767,604 = 767,604/x
  3. Step 3: Cross multiply
    356,154x = 767,604 × 767,604
  4. Step 4: Simplify right side
    356,154x = 589,215,900,816
  5. Step 5: Solve for x
    x = 589,215,900,816/356,154
  6. Step 6: Final answer
    x = 1,654,385.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.