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Finding the Third Proportional to 315,376 and 709,706

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Solution

The third proportional to 315,376 and 709,706 is: 1,597,086.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,376 : 709,706 = 709,706 : x
  2. Step 2: Convert to fraction form
    315,376/709,706 = 709,706/x
  3. Step 3: Cross multiply
    315,376x = 709,706 × 709,706
  4. Step 4: Simplify right side
    315,376x = 503,682,606,436
  5. Step 5: Solve for x
    x = 503,682,606,436/315,376
  6. Step 6: Final answer
    x = 1,597,086.04

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.