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Finding the Third Proportional to 310,327.50 and 416,205

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Solution

The third proportional to 310,327.50 and 416,205 is: 558,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,327.50 : 416,205 = 416,205 : x
  2. Step 2: Convert to fraction form
    310,327.50/416,205 = 416,205/x
  3. Step 3: Cross multiply
    310,327.50x = 416,205 × 416,205
  4. Step 4: Simplify right side
    310,327.50x = 173,226,602,025
  5. Step 5: Solve for x
    x = 173,226,602,025/310,327.50
  6. Step 6: Final answer
    x = 558,205.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.