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Finding the Third Proportional to 312,752 and 681,637

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Solution

The third proportional to 312,752 and 681,637 is: 1,485,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,752 : 681,637 = 681,637 : x
  2. Step 2: Convert to fraction form
    312,752/681,637 = 681,637/x
  3. Step 3: Cross multiply
    312,752x = 681,637 × 681,637
  4. Step 4: Simplify right side
    312,752x = 464,628,999,769
  5. Step 5: Solve for x
    x = 464,628,999,769/312,752
  6. Step 6: Final answer
    x = 1,485,614.80

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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.