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Finding the Third Proportional to 199,210 and 315,587

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Solution

The third proportional to 199,210 and 315,587 is: 499,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,210 : 315,587 = 315,587 : x
  2. Step 2: Convert to fraction form
    199,210/315,587 = 315,587/x
  3. Step 3: Cross multiply
    199,210x = 315,587 × 315,587
  4. Step 4: Simplify right side
    199,210x = 99,595,154,569
  5. Step 5: Solve for x
    x = 99,595,154,569/199,210
  6. Step 6: Final answer
    x = 499,950.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.