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Finding the Third Proportional to 165,754 and 254,355

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Solution

The third proportional to 165,754 and 254,355 is: 390,316.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,754 : 254,355 = 254,355 : x
  2. Step 2: Convert to fraction form
    165,754/254,355 = 254,355/x
  3. Step 3: Cross multiply
    165,754x = 254,355 × 254,355
  4. Step 4: Simplify right side
    165,754x = 64,696,466,025
  5. Step 5: Solve for x
    x = 64,696,466,025/165,754
  6. Step 6: Final answer
    x = 390,316.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.