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Finding the Third Proportional to 349,643 and 493,518

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Solution

The third proportional to 349,643 and 493,518 is: 696,596.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,643 : 493,518 = 493,518 : x
  2. Step 2: Convert to fraction form
    349,643/493,518 = 493,518/x
  3. Step 3: Cross multiply
    349,643x = 493,518 × 493,518
  4. Step 4: Simplify right side
    349,643x = 243,560,016,324
  5. Step 5: Solve for x
    x = 243,560,016,324/349,643
  6. Step 6: Final answer
    x = 696,596.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.