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Finding the Third Proportional to 213,565.50 and 309,332.25

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Solution

The third proportional to 213,565.50 and 309,332.25 is: 448,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,565.50 : 309,332.25 = 309,332.25 : x
  2. Step 2: Convert to fraction form
    213,565.50/309,332.25 = 309,332.25/x
  3. Step 3: Cross multiply
    213,565.50x = 309,332.25 × 309,332.25
  4. Step 4: Simplify right side
    213,565.50x = 95,686,440,890.06
  5. Step 5: Solve for x
    x = 95,686,440,890.06/213,565.50
  6. Step 6: Final answer
    x = 448,042.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.