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Finding the Third Proportional to 144,663 and 317,349

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Solution

The third proportional to 144,663 and 317,349 is: 696,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,663 : 317,349 = 317,349 : x
  2. Step 2: Convert to fraction form
    144,663/317,349 = 317,349/x
  3. Step 3: Cross multiply
    144,663x = 317,349 × 317,349
  4. Step 4: Simplify right side
    144,663x = 100,710,387,801
  5. Step 5: Solve for x
    x = 100,710,387,801/144,663
  6. Step 6: Final answer
    x = 696,172.40

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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.