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Finding the Third Proportional to 218,240,703 and 472,806,305

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Solution

The third proportional to 218,240,703 and 472,806,305 is: 1,024,308,476.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,240,703 : 472,806,305 = 472,806,305 : x
  2. Step 2: Convert to fraction form
    218,240,703/472,806,305 = 472,806,305/x
  3. Step 3: Cross multiply
    218,240,703x = 472,806,305 × 472,806,305
  4. Step 4: Simplify right side
    218,240,703x = 223,545,802,047,753,024
  5. Step 5: Solve for x
    x = 223,545,802,047,753,024/218,240,703
  6. Step 6: Final answer
    x = 1,024,308,476.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.