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Finding the Third Proportional to 180,316.13 and 389,541.38

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Solution

The third proportional to 180,316.13 and 389,541.38 is: 841,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,316.13 : 389,541.38 = 389,541.38 : x
  2. Step 2: Convert to fraction form
    180,316.13/389,541.38 = 389,541.38/x
  3. Step 3: Cross multiply
    180,316.13x = 389,541.38 × 389,541.38
  4. Step 4: Simplify right side
    180,316.13x = 151,742,482,836.89
  5. Step 5: Solve for x
    x = 151,742,482,836.89/180,316.13
  6. Step 6: Final answer
    x = 841,535.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.