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Finding the Third Proportional to 426,780 and 572,742

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Solution

The third proportional to 426,780 and 572,742 is: 768,624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,780 : 572,742 = 572,742 : x
  2. Step 2: Convert to fraction form
    426,780/572,742 = 572,742/x
  3. Step 3: Cross multiply
    426,780x = 572,742 × 572,742
  4. Step 4: Simplify right side
    426,780x = 328,033,398,564
  5. Step 5: Solve for x
    x = 328,033,398,564/426,780
  6. Step 6: Final answer
    x = 768,624.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.