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Finding the Third Proportional to 284,070.38 and 621,585.56

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Solution

The third proportional to 284,070.38 and 621,585.56 is: 1,360,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,070.38 : 621,585.56 = 621,585.56 : x
  2. Step 2: Convert to fraction form
    284,070.38/621,585.56 = 621,585.56/x
  3. Step 3: Cross multiply
    284,070.38x = 621,585.56 × 621,585.56
  4. Step 4: Simplify right side
    284,070.38x = 386,368,611,508.44
  5. Step 5: Solve for x
    x = 386,368,611,508.44/284,070.38
  6. Step 6: Final answer
    x = 1,360,115.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.