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Finding the Third Proportional to 381,080 and 812,776

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Solution

The third proportional to 381,080 and 812,776 is: 1,733,506.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,080 : 812,776 = 812,776 : x
  2. Step 2: Convert to fraction form
    381,080/812,776 = 812,776/x
  3. Step 3: Cross multiply
    381,080x = 812,776 × 812,776
  4. Step 4: Simplify right side
    381,080x = 660,604,826,176
  5. Step 5: Solve for x
    x = 660,604,826,176/381,080
  6. Step 6: Final answer
    x = 1,733,506.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.