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Finding the Third Proportional to 988,476 and 2,169,408

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Solution

The third proportional to 988,476 and 2,169,408 is: 4,761,199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    988,476 : 2,169,408 = 2,169,408 : x
  2. Step 2: Convert to fraction form
    988,476/2,169,408 = 2,169,408/x
  3. Step 3: Cross multiply
    988,476x = 2,169,408 × 2,169,408
  4. Step 4: Simplify right side
    988,476x = 4,706,331,070,464
  5. Step 5: Solve for x
    x = 4,706,331,070,464/988,476
  6. Step 6: Final answer
    x = 4,761,199.13

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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.