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Finding the Third Proportional to 312,972.75 and 652,419

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Solution

The third proportional to 312,972.75 and 652,419 is: 1,360,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,972.75 : 652,419 = 652,419 : x
  2. Step 2: Convert to fraction form
    312,972.75/652,419 = 652,419/x
  3. Step 3: Cross multiply
    312,972.75x = 652,419 × 652,419
  4. Step 4: Simplify right side
    312,972.75x = 425,650,551,561
  5. Step 5: Solve for x
    x = 425,650,551,561/312,972.75
  6. Step 6: Final answer
    x = 1,360,024.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.