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Finding the Third Proportional to 180,642.66 and 389,035.41

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Solution

The third proportional to 180,642.66 and 389,035.41 is: 837,833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,642.66 : 389,035.41 = 389,035.41 : x
  2. Step 2: Convert to fraction form
    180,642.66/389,035.41 = 389,035.41/x
  3. Step 3: Cross multiply
    180,642.66x = 389,035.41 × 389,035.41
  4. Step 4: Simplify right side
    180,642.66x = 151,348,547,316.10
  5. Step 5: Solve for x
    x = 151,348,547,316.10/180,642.66
  6. Step 6: Final answer
    x = 837,833.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.