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Finding the Third Proportional to 130,957.88 and 193,981.50

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Solution

The third proportional to 130,957.88 and 193,981.50 is: 287,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,957.88 : 193,981.50 = 193,981.50 : x
  2. Step 2: Convert to fraction form
    130,957.88/193,981.50 = 193,981.50/x
  3. Step 3: Cross multiply
    130,957.88x = 193,981.50 × 193,981.50
  4. Step 4: Simplify right side
    130,957.88x = 37,628,822,342.25
  5. Step 5: Solve for x
    x = 37,628,822,342.25/130,957.88
  6. Step 6: Final answer
    x = 287,335.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.