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Finding the Third Proportional to 316,453 and 644,656

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Solution

The third proportional to 316,453 and 644,656 is: 1,313,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,453 : 644,656 = 644,656 : x
  2. Step 2: Convert to fraction form
    316,453/644,656 = 644,656/x
  3. Step 3: Cross multiply
    316,453x = 644,656 × 644,656
  4. Step 4: Simplify right side
    316,453x = 415,581,358,336
  5. Step 5: Solve for x
    x = 415,581,358,336/316,453
  6. Step 6: Final answer
    x = 1,313,248.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.