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Finding the Third Proportional to 356,213 and 749,314

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Solution

The third proportional to 356,213 and 749,314 is: 1,576,223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,213 : 749,314 = 749,314 : x
  2. Step 2: Convert to fraction form
    356,213/749,314 = 749,314/x
  3. Step 3: Cross multiply
    356,213x = 749,314 × 749,314
  4. Step 4: Simplify right side
    356,213x = 561,471,470,596
  5. Step 5: Solve for x
    x = 561,471,470,596/356,213
  6. Step 6: Final answer
    x = 1,576,223.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.