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Finding the Third Proportional to 349,974 and 749,516

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Solution

The third proportional to 349,974 and 749,516 is: 1,605,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,974 : 749,516 = 749,516 : x
  2. Step 2: Convert to fraction form
    349,974/749,516 = 749,516/x
  3. Step 3: Cross multiply
    349,974x = 749,516 × 749,516
  4. Step 4: Simplify right side
    349,974x = 561,774,234,256
  5. Step 5: Solve for x
    x = 561,774,234,256/349,974
  6. Step 6: Final answer
    x = 1,605,188.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.