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Finding the Third Proportional to 199,130 and 315,466

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Solution

The third proportional to 199,130 and 315,466 is: 499,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,130 : 315,466 = 315,466 : x
  2. Step 2: Convert to fraction form
    199,130/315,466 = 315,466/x
  3. Step 3: Cross multiply
    199,130x = 315,466 × 315,466
  4. Step 4: Simplify right side
    199,130x = 99,518,797,156
  5. Step 5: Solve for x
    x = 99,518,797,156/199,130
  6. Step 6: Final answer
    x = 499,767.98

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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.