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Finding the Third Proportional to 144,624 and 313,840

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Solution

The third proportional to 144,624 and 313,840 is: 681,045.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,624 : 313,840 = 313,840 : x
  2. Step 2: Convert to fraction form
    144,624/313,840 = 313,840/x
  3. Step 3: Cross multiply
    144,624x = 313,840 × 313,840
  4. Step 4: Simplify right side
    144,624x = 98,495,545,600
  5. Step 5: Solve for x
    x = 98,495,545,600/144,624
  6. Step 6: Final answer
    x = 681,045.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.