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Finding the Third Proportional to 199,868 and 307,521

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Solution

The third proportional to 199,868 and 307,521 is: 473,158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,868 : 307,521 = 307,521 : x
  2. Step 2: Convert to fraction form
    199,868/307,521 = 307,521/x
  3. Step 3: Cross multiply
    199,868x = 307,521 × 307,521
  4. Step 4: Simplify right side
    199,868x = 94,569,165,441
  5. Step 5: Solve for x
    x = 94,569,165,441/199,868
  6. Step 6: Final answer
    x = 473,158.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.