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Finding the Third Proportional to 130,196 and 197,480

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Solution

The third proportional to 130,196 and 197,480 is: 299,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,196 : 197,480 = 197,480 : x
  2. Step 2: Convert to fraction form
    130,196/197,480 = 197,480/x
  3. Step 3: Cross multiply
    130,196x = 197,480 × 197,480
  4. Step 4: Simplify right side
    130,196x = 38,998,350,400
  5. Step 5: Solve for x
    x = 38,998,350,400/130,196
  6. Step 6: Final answer
    x = 299,535.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.