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Finding the Third Proportional to 490,712 and 1,051,376

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Solution

The third proportional to 490,712 and 1,051,376 is: 2,252,627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,712 : 1,051,376 = 1,051,376 : x
  2. Step 2: Convert to fraction form
    490,712/1,051,376 = 1,051,376/x
  3. Step 3: Cross multiply
    490,712x = 1,051,376 × 1,051,376
  4. Step 4: Simplify right side
    490,712x = 1,105,391,493,376
  5. Step 5: Solve for x
    x = 1,105,391,493,376/490,712
  6. Step 6: Final answer
    x = 2,252,627.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.