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Finding the Third Proportional to 203,670 and 315,038

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Solution

The third proportional to 203,670 and 315,038 is: 487,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,670 : 315,038 = 315,038 : x
  2. Step 2: Convert to fraction form
    203,670/315,038 = 315,038/x
  3. Step 3: Cross multiply
    203,670x = 315,038 × 315,038
  4. Step 4: Simplify right side
    203,670x = 99,248,941,444
  5. Step 5: Solve for x
    x = 99,248,941,444/203,670
  6. Step 6: Final answer
    x = 487,302.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.