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Finding the Third Proportional to 189,216 and 315,348

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Solution

The third proportional to 189,216 and 315,348 is: 525,560.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,216 : 315,348 = 315,348 : x
  2. Step 2: Convert to fraction form
    189,216/315,348 = 315,348/x
  3. Step 3: Cross multiply
    189,216x = 315,348 × 315,348
  4. Step 4: Simplify right side
    189,216x = 99,444,361,104
  5. Step 5: Solve for x
    x = 99,444,361,104/189,216
  6. Step 6: Final answer
    x = 525,560.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.