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Finding the Third Proportional to 300,960 and 710,415

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Solution

The third proportional to 300,960 and 710,415 is: 1,676,932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,960 : 710,415 = 710,415 : x
  2. Step 2: Convert to fraction form
    300,960/710,415 = 710,415/x
  3. Step 3: Cross multiply
    300,960x = 710,415 × 710,415
  4. Step 4: Simplify right side
    300,960x = 504,689,472,225
  5. Step 5: Solve for x
    x = 504,689,472,225/300,960
  6. Step 6: Final answer
    x = 1,676,932.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.