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Finding the Third Proportional to 157,810.50 and 216,951.75

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Solution

The third proportional to 157,810.50 and 216,951.75 is: 298,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,810.50 : 216,951.75 = 216,951.75 : x
  2. Step 2: Convert to fraction form
    157,810.50/216,951.75 = 216,951.75/x
  3. Step 3: Cross multiply
    157,810.50x = 216,951.75 × 216,951.75
  4. Step 4: Simplify right side
    157,810.50x = 47,068,061,828.06
  5. Step 5: Solve for x
    x = 47,068,061,828.06/157,810.50
  6. Step 6: Final answer
    x = 298,256.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.