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Finding the Third Proportional to 130,419 and 207,301.50

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Solution

The third proportional to 130,419 and 207,301.50 is: 329,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,419 : 207,301.50 = 207,301.50 : x
  2. Step 2: Convert to fraction form
    130,419/207,301.50 = 207,301.50/x
  3. Step 3: Cross multiply
    130,419x = 207,301.50 × 207,301.50
  4. Step 4: Simplify right side
    130,419x = 42,973,911,902.25
  5. Step 5: Solve for x
    x = 42,973,911,902.25/130,419
  6. Step 6: Final answer
    x = 329,506.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.