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Finding the Third Proportional to 211,098 and 315,594

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Solution

The third proportional to 211,098 and 315,594 is: 471,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,098 : 315,594 = 315,594 : x
  2. Step 2: Convert to fraction form
    211,098/315,594 = 315,594/x
  3. Step 3: Cross multiply
    211,098x = 315,594 × 315,594
  4. Step 4: Simplify right side
    211,098x = 99,599,572,836
  5. Step 5: Solve for x
    x = 99,599,572,836/211,098
  6. Step 6: Final answer
    x = 471,816.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.