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Finding the Third Proportional to 482,476 and 1,054,376

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Solution

The third proportional to 482,476 and 1,054,376 is: 2,304,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,476 : 1,054,376 = 1,054,376 : x
  2. Step 2: Convert to fraction form
    482,476/1,054,376 = 1,054,376/x
  3. Step 3: Cross multiply
    482,476x = 1,054,376 × 1,054,376
  4. Step 4: Simplify right side
    482,476x = 1,111,708,749,376
  5. Step 5: Solve for x
    x = 1,111,708,749,376/482,476
  6. Step 6: Final answer
    x = 2,304,174.20

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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.