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Finding the Third Proportional to 490,218 and 749,432.25

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Solution

The third proportional to 490,218 and 749,432.25 is: 1,145,712.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,218 : 749,432.25 = 749,432.25 : x
  2. Step 2: Convert to fraction form
    490,218/749,432.25 = 749,432.25/x
  3. Step 3: Cross multiply
    490,218x = 749,432.25 × 749,432.25
  4. Step 4: Simplify right side
    490,218x = 561,648,697,340.06
  5. Step 5: Solve for x
    x = 561,648,697,340.06/490,218
  6. Step 6: Final answer
    x = 1,145,712.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.