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Finding the Third Proportional to 421,358 and 921,546

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Solution

The third proportional to 421,358 and 921,546 is: 2,015,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,358 : 921,546 = 921,546 : x
  2. Step 2: Convert to fraction form
    421,358/921,546 = 921,546/x
  3. Step 3: Cross multiply
    421,358x = 921,546 × 921,546
  4. Step 4: Simplify right side
    421,358x = 849,247,030,116
  5. Step 5: Solve for x
    x = 849,247,030,116/421,358
  6. Step 6: Final answer
    x = 2,015,499.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.