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Finding the Third Proportional to 72,988 and 157,970

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Solution

The third proportional to 72,988 and 157,970 is: 341,898.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,988 : 157,970 = 157,970 : x
  2. Step 2: Convert to fraction form
    72,988/157,970 = 157,970/x
  3. Step 3: Cross multiply
    72,988x = 157,970 × 157,970
  4. Step 4: Simplify right side
    72,988x = 24,954,520,900
  5. Step 5: Solve for x
    x = 24,954,520,900/72,988
  6. Step 6: Final answer
    x = 341,898.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.