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Finding the Third Proportional to 381,053 and 561,052

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Solution

The third proportional to 381,053 and 561,052 is: 826,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,053 : 561,052 = 561,052 : x
  2. Step 2: Convert to fraction form
    381,053/561,052 = 561,052/x
  3. Step 3: Cross multiply
    381,053x = 561,052 × 561,052
  4. Step 4: Simplify right side
    381,053x = 314,779,346,704
  5. Step 5: Solve for x
    x = 314,779,346,704/381,053
  6. Step 6: Final answer
    x = 826,077.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.