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Finding the Third Proportional to 191,440 and 421,472

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Solution

The third proportional to 191,440 and 421,472 is: 927,907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,440 : 421,472 = 421,472 : x
  2. Step 2: Convert to fraction form
    191,440/421,472 = 421,472/x
  3. Step 3: Cross multiply
    191,440x = 421,472 × 421,472
  4. Step 4: Simplify right side
    191,440x = 177,638,646,784
  5. Step 5: Solve for x
    x = 177,638,646,784/191,440
  6. Step 6: Final answer
    x = 927,907.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.