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Finding the Third Proportional to 421,108 and 913,160

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Solution

The third proportional to 421,108 and 913,160 is: 1,980,159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,108 : 913,160 = 913,160 : x
  2. Step 2: Convert to fraction form
    421,108/913,160 = 913,160/x
  3. Step 3: Cross multiply
    421,108x = 913,160 × 913,160
  4. Step 4: Simplify right side
    421,108x = 833,861,185,600
  5. Step 5: Solve for x
    x = 833,861,185,600/421,108
  6. Step 6: Final answer
    x = 1,980,159.92

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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.