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Finding the Third Proportional to 1,098,511 and 1,663,257

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Solution

The third proportional to 1,098,511 and 1,663,257 is: 2,518,339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,511 : 1,663,257 = 1,663,257 : x
  2. Step 2: Convert to fraction form
    1,098,511/1,663,257 = 1,663,257/x
  3. Step 3: Cross multiply
    1,098,511x = 1,663,257 × 1,663,257
  4. Step 4: Simplify right side
    1,098,511x = 2,766,423,848,049
  5. Step 5: Solve for x
    x = 2,766,423,848,049/1,098,511
  6. Step 6: Final answer
    x = 2,518,339.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.