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Finding the Third Proportional to 702,400 and 1,488,392

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Solution

The third proportional to 702,400 and 1,488,392 is: 3,153,916.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,400 : 1,488,392 = 1,488,392 : x
  2. Step 2: Convert to fraction form
    702,400/1,488,392 = 1,488,392/x
  3. Step 3: Cross multiply
    702,400x = 1,488,392 × 1,488,392
  4. Step 4: Simplify right side
    702,400x = 2,215,310,745,664
  5. Step 5: Solve for x
    x = 2,215,310,745,664/702,400
  6. Step 6: Final answer
    x = 3,153,916.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.