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Finding the Third Proportional to 155,964 and 247,943

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Solution

The third proportional to 155,964 and 247,943 is: 394,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,964 : 247,943 = 247,943 : x
  2. Step 2: Convert to fraction form
    155,964/247,943 = 247,943/x
  3. Step 3: Cross multiply
    155,964x = 247,943 × 247,943
  4. Step 4: Simplify right side
    155,964x = 61,475,731,249
  5. Step 5: Solve for x
    x = 61,475,731,249/155,964
  6. Step 6: Final answer
    x = 394,166.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.