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Finding the Third Proportional to 91,610 and 130,758

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Solution

The third proportional to 91,610 and 130,758 is: 186,635.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,610 : 130,758 = 130,758 : x
  2. Step 2: Convert to fraction form
    91,610/130,758 = 130,758/x
  3. Step 3: Cross multiply
    91,610x = 130,758 × 130,758
  4. Step 4: Simplify right side
    91,610x = 17,097,654,564
  5. Step 5: Solve for x
    x = 17,097,654,564/91,610
  6. Step 6: Final answer
    x = 186,635.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.