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Finding the Third Proportional to 144,351 and 314,934

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Solution

The third proportional to 144,351 and 314,934 is: 687,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,351 : 314,934 = 314,934 : x
  2. Step 2: Convert to fraction form
    144,351/314,934 = 314,934/x
  3. Step 3: Cross multiply
    144,351x = 314,934 × 314,934
  4. Step 4: Simplify right side
    144,351x = 99,183,424,356
  5. Step 5: Solve for x
    x = 99,183,424,356/144,351
  6. Step 6: Final answer
    x = 687,098.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.