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Finding the Third Proportional to 421,372 and 921,572

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Solution

The third proportional to 421,372 and 921,572 is: 2,015,546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,372 : 921,572 = 921,572 : x
  2. Step 2: Convert to fraction form
    421,372/921,572 = 921,572/x
  3. Step 3: Cross multiply
    421,372x = 921,572 × 921,572
  4. Step 4: Simplify right side
    421,372x = 849,294,951,184
  5. Step 5: Solve for x
    x = 849,294,951,184/421,372
  6. Step 6: Final answer
    x = 2,015,546.72

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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.