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Finding the Third Proportional to 72,140 and 157,402

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Solution

The third proportional to 72,140 and 157,402 is: 343,434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,140 : 157,402 = 157,402 : x
  2. Step 2: Convert to fraction form
    72,140/157,402 = 157,402/x
  3. Step 3: Cross multiply
    72,140x = 157,402 × 157,402
  4. Step 4: Simplify right side
    72,140x = 24,775,389,604
  5. Step 5: Solve for x
    x = 24,775,389,604/72,140
  6. Step 6: Final answer
    x = 343,434.84

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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.