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Finding the Third Proportional to 130,608 and 290,400

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Solution

The third proportional to 130,608 and 290,400 is: 645,689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,608 : 290,400 = 290,400 : x
  2. Step 2: Convert to fraction form
    130,608/290,400 = 290,400/x
  3. Step 3: Cross multiply
    130,608x = 290,400 × 290,400
  4. Step 4: Simplify right side
    130,608x = 84,332,160,000
  5. Step 5: Solve for x
    x = 84,332,160,000/130,608
  6. Step 6: Final answer
    x = 645,689.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.