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Finding the Third Proportional to 275,154.19 and 411,465.38

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Solution

The third proportional to 275,154.19 and 411,465.38 is: 615,305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,154.19 : 411,465.38 = 411,465.38 : x
  2. Step 2: Convert to fraction form
    275,154.19/411,465.38 = 411,465.38/x
  3. Step 3: Cross multiply
    275,154.19x = 411,465.38 × 411,465.38
  4. Step 4: Simplify right side
    275,154.19x = 169,303,754,823.89
  5. Step 5: Solve for x
    x = 169,303,754,823.89/275,154.19
  6. Step 6: Final answer
    x = 615,305.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.