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Finding the Third Proportional to 421,106 and 913,156

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Solution

The third proportional to 421,106 and 913,156 is: 1,980,151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,106 : 913,156 = 913,156 : x
  2. Step 2: Convert to fraction form
    421,106/913,156 = 913,156/x
  3. Step 3: Cross multiply
    421,106x = 913,156 × 913,156
  4. Step 4: Simplify right side
    421,106x = 833,853,880,336
  5. Step 5: Solve for x
    x = 833,853,880,336/421,106
  6. Step 6: Final answer
    x = 1,980,151.98

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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.