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Finding the Third Proportional to 136,428 and 289,080

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Solution

The third proportional to 136,428 and 289,080 is: 612,537.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,428 : 289,080 = 289,080 : x
  2. Step 2: Convert to fraction form
    136,428/289,080 = 289,080/x
  3. Step 3: Cross multiply
    136,428x = 289,080 × 289,080
  4. Step 4: Simplify right side
    136,428x = 83,567,246,400
  5. Step 5: Solve for x
    x = 83,567,246,400/136,428
  6. Step 6: Final answer
    x = 612,537.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.