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Finding the Third Proportional to 972,400.50 and 2,121,945.75

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Solution

The third proportional to 972,400.50 and 2,121,945.75 is: 4,630,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,400.50 : 2,121,945.75 = 2,121,945.75 : x
  2. Step 2: Convert to fraction form
    972,400.50/2,121,945.75 = 2,121,945.75/x
  3. Step 3: Cross multiply
    972,400.50x = 2,121,945.75 × 2,121,945.75
  4. Step 4: Simplify right side
    972,400.50x = 4,502,653,765,943.06
  5. Step 5: Solve for x
    x = 4,502,653,765,943.06/972,400.50
  6. Step 6: Final answer
    x = 4,630,451.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.