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Finding the Third Proportional to 207,748 and 454,808

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Solution

The third proportional to 207,748 and 454,808 is: 995,678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,748 : 454,808 = 454,808 : x
  2. Step 2: Convert to fraction form
    207,748/454,808 = 454,808/x
  3. Step 3: Cross multiply
    207,748x = 454,808 × 454,808
  4. Step 4: Simplify right side
    207,748x = 206,850,316,864
  5. Step 5: Solve for x
    x = 206,850,316,864/207,748
  6. Step 6: Final answer
    x = 995,678.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.