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Finding the Third Proportional to 213,750 and 457,365

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Solution

The third proportional to 213,750 and 457,365 is: 978,632.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,750 : 457,365 = 457,365 : x
  2. Step 2: Convert to fraction form
    213,750/457,365 = 457,365/x
  3. Step 3: Cross multiply
    213,750x = 457,365 × 457,365
  4. Step 4: Simplify right side
    213,750x = 209,182,743,225
  5. Step 5: Solve for x
    x = 209,182,743,225/213,750
  6. Step 6: Final answer
    x = 978,632.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.