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Finding the Third Proportional to 4,121,202.50 and 6,304,195

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Solution

The third proportional to 4,121,202.50 and 6,304,195 is: 9,643,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121,202.50 : 6,304,195 = 6,304,195 : x
  2. Step 2: Convert to fraction form
    4,121,202.50/6,304,195 = 6,304,195/x
  3. Step 3: Cross multiply
    4,121,202.50x = 6,304,195 × 6,304,195
  4. Step 4: Simplify right side
    4,121,202.50x = 39,742,874,598,025
  5. Step 5: Solve for x
    x = 39,742,874,598,025/4,121,202.50
  6. Step 6: Final answer
    x = 9,643,514.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.