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Finding the Third Proportional to 378,726 and 569,070

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Solution

The third proportional to 378,726 and 569,070 is: 855,079.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,726 : 569,070 = 569,070 : x
  2. Step 2: Convert to fraction form
    378,726/569,070 = 569,070/x
  3. Step 3: Cross multiply
    378,726x = 569,070 × 569,070
  4. Step 4: Simplify right side
    378,726x = 323,840,664,900
  5. Step 5: Solve for x
    x = 323,840,664,900/378,726
  6. Step 6: Final answer
    x = 855,079.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.