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Finding the Third Proportional to 349,965 and 558,179

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Solution

The third proportional to 349,965 and 558,179 is: 890,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,965 : 558,179 = 558,179 : x
  2. Step 2: Convert to fraction form
    349,965/558,179 = 558,179/x
  3. Step 3: Cross multiply
    349,965x = 558,179 × 558,179
  4. Step 4: Simplify right side
    349,965x = 311,563,796,041
  5. Step 5: Solve for x
    x = 311,563,796,041/349,965
  6. Step 6: Final answer
    x = 890,271.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.