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Finding the Third Proportional to 320,851.13 and 681,056.86

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Solution

The third proportional to 320,851.13 and 681,056.86 is: 1,445,650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,851.13 : 681,056.86 = 681,056.86 : x
  2. Step 2: Convert to fraction form
    320,851.13/681,056.86 = 681,056.86/x
  3. Step 3: Cross multiply
    320,851.13x = 681,056.86 × 681,056.86
  4. Step 4: Simplify right side
    320,851.13x = 463,838,445,701.74
  5. Step 5: Solve for x
    x = 463,838,445,701.74/320,851.13
  6. Step 6: Final answer
    x = 1,445,650.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.