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Finding the Third Proportional to 230,286 and 355,264.50

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Solution

The third proportional to 230,286 and 355,264.50 is: 548,070.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,286 : 355,264.50 = 355,264.50 : x
  2. Step 2: Convert to fraction form
    230,286/355,264.50 = 355,264.50/x
  3. Step 3: Cross multiply
    230,286x = 355,264.50 × 355,264.50
  4. Step 4: Simplify right side
    230,286x = 126,212,864,960.25
  5. Step 5: Solve for x
    x = 126,212,864,960.25/230,286
  6. Step 6: Final answer
    x = 548,070.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.