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Finding the Third Proportional to 130,258 and 194,840

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Solution

The third proportional to 130,258 and 194,840 is: 291,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,258 : 194,840 = 194,840 : x
  2. Step 2: Convert to fraction form
    130,258/194,840 = 194,840/x
  3. Step 3: Cross multiply
    130,258x = 194,840 × 194,840
  4. Step 4: Simplify right side
    130,258x = 37,962,625,600
  5. Step 5: Solve for x
    x = 37,962,625,600/130,258
  6. Step 6: Final answer
    x = 291,441.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.