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Finding the Third Proportional to 358,390 and 769,900

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Solution

The third proportional to 358,390 and 769,900 is: 1,653,913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,390 : 769,900 = 769,900 : x
  2. Step 2: Convert to fraction form
    358,390/769,900 = 769,900/x
  3. Step 3: Cross multiply
    358,390x = 769,900 × 769,900
  4. Step 4: Simplify right side
    358,390x = 592,746,010,000
  5. Step 5: Solve for x
    x = 592,746,010,000/358,390
  6. Step 6: Final answer
    x = 1,653,913.36

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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.