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Finding the Third Proportional to 175,140 and 271,746

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Solution

The third proportional to 175,140 and 271,746 is: 421,639.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,140 : 271,746 = 271,746 : x
  2. Step 2: Convert to fraction form
    175,140/271,746 = 271,746/x
  3. Step 3: Cross multiply
    175,140x = 271,746 × 271,746
  4. Step 4: Simplify right side
    175,140x = 73,845,888,516
  5. Step 5: Solve for x
    x = 73,845,888,516/175,140
  6. Step 6: Final answer
    x = 421,639.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.