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Finding the Third Proportional to 387,720 and 568,780

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Solution

The third proportional to 387,720 and 568,780 is: 834,392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,720 : 568,780 = 568,780 : x
  2. Step 2: Convert to fraction form
    387,720/568,780 = 568,780/x
  3. Step 3: Cross multiply
    387,720x = 568,780 × 568,780
  4. Step 4: Simplify right side
    387,720x = 323,510,688,400
  5. Step 5: Solve for x
    x = 323,510,688,400/387,720
  6. Step 6: Final answer
    x = 834,392.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.