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Finding the Third Proportional to 312,850 and 681,572

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Solution

The third proportional to 312,850 and 681,572 is: 1,484,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,850 : 681,572 = 681,572 : x
  2. Step 2: Convert to fraction form
    312,850/681,572 = 681,572/x
  3. Step 3: Cross multiply
    312,850x = 681,572 × 681,572
  4. Step 4: Simplify right side
    312,850x = 464,540,391,184
  5. Step 5: Solve for x
    x = 464,540,391,184/312,850
  6. Step 6: Final answer
    x = 1,484,866.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.