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Finding the Third Proportional to 272,484 and 659,340

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Solution

The third proportional to 272,484 and 659,340 is: 1,595,430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,484 : 659,340 = 659,340 : x
  2. Step 2: Convert to fraction form
    272,484/659,340 = 659,340/x
  3. Step 3: Cross multiply
    272,484x = 659,340 × 659,340
  4. Step 4: Simplify right side
    272,484x = 434,729,235,600
  5. Step 5: Solve for x
    x = 434,729,235,600/272,484
  6. Step 6: Final answer
    x = 1,595,430.32

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.