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Finding the Third Proportional to 243,153.56 and 390,678.19

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Solution

The third proportional to 243,153.56 and 390,678.19 is: 627,708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,153.56 : 390,678.19 = 390,678.19 : x
  2. Step 2: Convert to fraction form
    243,153.56/390,678.19 = 390,678.19/x
  3. Step 3: Cross multiply
    243,153.56x = 390,678.19 × 390,678.19
  4. Step 4: Simplify right side
    243,153.56x = 152,629,446,188.29
  5. Step 5: Solve for x
    x = 152,629,446,188.29/243,153.56
  6. Step 6: Final answer
    x = 627,708.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.