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Finding the Third Proportional to 702,407 and 1,488,406

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Solution

The third proportional to 702,407 and 1,488,406 is: 3,153,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,407 : 1,488,406 = 1,488,406 : x
  2. Step 2: Convert to fraction form
    702,407/1,488,406 = 1,488,406/x
  3. Step 3: Cross multiply
    702,407x = 1,488,406 × 1,488,406
  4. Step 4: Simplify right side
    702,407x = 2,215,352,420,836
  5. Step 5: Solve for x
    x = 2,215,352,420,836/702,407
  6. Step 6: Final answer
    x = 3,153,944.11

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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.