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Finding the Third Proportional to 301,411.13 and 428,431.78

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Solution

The third proportional to 301,411.13 and 428,431.78 is: 608,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,411.13 : 428,431.78 = 428,431.78 : x
  2. Step 2: Convert to fraction form
    301,411.13/428,431.78 = 428,431.78/x
  3. Step 3: Cross multiply
    301,411.13x = 428,431.78 × 428,431.78
  4. Step 4: Simplify right side
    301,411.13x = 183,553,791,185.05
  5. Step 5: Solve for x
    x = 183,553,791,185.05/301,411.13
  6. Step 6: Final answer
    x = 608,981.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.