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Finding the Third Proportional to 72,172 and 157,460

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Solution

The third proportional to 72,172 and 157,460 is: 343,535.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,172 : 157,460 = 157,460 : x
  2. Step 2: Convert to fraction form
    72,172/157,460 = 157,460/x
  3. Step 3: Cross multiply
    72,172x = 157,460 × 157,460
  4. Step 4: Simplify right side
    72,172x = 24,793,651,600
  5. Step 5: Solve for x
    x = 24,793,651,600/72,172
  6. Step 6: Final answer
    x = 343,535.60

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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.