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Finding the Third Proportional to 130,128.75 and 196,840.13

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Solution

The third proportional to 130,128.75 and 196,840.13 is: 297,751.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,128.75 : 196,840.13 = 196,840.13 : x
  2. Step 2: Convert to fraction form
    130,128.75/196,840.13 = 196,840.13/x
  3. Step 3: Cross multiply
    130,128.75x = 196,840.13 × 196,840.13
  4. Step 4: Simplify right side
    130,128.75x = 38,746,034,810.02
  5. Step 5: Solve for x
    x = 38,746,034,810.02/130,128.75
  6. Step 6: Final answer
    x = 297,751.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.