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Finding the Third Proportional to 61,240 and 130,160

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Solution

The third proportional to 61,240 and 130,160 is: 276,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,240 : 130,160 = 130,160 : x
  2. Step 2: Convert to fraction form
    61,240/130,160 = 130,160/x
  3. Step 3: Cross multiply
    61,240x = 130,160 × 130,160
  4. Step 4: Simplify right side
    61,240x = 16,941,625,600
  5. Step 5: Solve for x
    x = 16,941,625,600/61,240
  6. Step 6: Final answer
    x = 276,643.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.