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Finding the Third Proportional to 208,405.13 and 322,903.69

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Solution

The third proportional to 208,405.13 and 322,903.69 is: 500,308.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,405.13 : 322,903.69 = 322,903.69 : x
  2. Step 2: Convert to fraction form
    208,405.13/322,903.69 = 322,903.69/x
  3. Step 3: Cross multiply
    208,405.13x = 322,903.69 × 322,903.69
  4. Step 4: Simplify right side
    208,405.13x = 104,266,791,401.10
  5. Step 5: Solve for x
    x = 104,266,791,401.10/208,405.13
  6. Step 6: Final answer
    x = 500,308.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.