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Finding the Third Proportional to 421,238 and 913,972

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Solution

The third proportional to 421,238 and 913,972 is: 1,983,070.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,238 : 913,972 = 913,972 : x
  2. Step 2: Convert to fraction form
    421,238/913,972 = 913,972/x
  3. Step 3: Cross multiply
    421,238x = 913,972 × 913,972
  4. Step 4: Simplify right side
    421,238x = 835,344,816,784
  5. Step 5: Solve for x
    x = 835,344,816,784/421,238
  6. Step 6: Final answer
    x = 1,983,070.89

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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.