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Finding the Third Proportional to 345,566 and 515,685

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Solution

The third proportional to 345,566 and 515,685 is: 769,552.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,566 : 515,685 = 515,685 : x
  2. Step 2: Convert to fraction form
    345,566/515,685 = 515,685/x
  3. Step 3: Cross multiply
    345,566x = 515,685 × 515,685
  4. Step 4: Simplify right side
    345,566x = 265,931,019,225
  5. Step 5: Solve for x
    x = 265,931,019,225/345,566
  6. Step 6: Final answer
    x = 769,552.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.