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Finding the Third Proportional to 181,280 and 254,829

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Solution

The third proportional to 181,280 and 254,829 is: 358,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,280 : 254,829 = 254,829 : x
  2. Step 2: Convert to fraction form
    181,280/254,829 = 254,829/x
  3. Step 3: Cross multiply
    181,280x = 254,829 × 254,829
  4. Step 4: Simplify right side
    181,280x = 64,937,819,241
  5. Step 5: Solve for x
    x = 64,937,819,241/181,280
  6. Step 6: Final answer
    x = 358,218.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.