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Finding the Third Proportional to 421,632 and 910,564

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Solution

The third proportional to 421,632 and 910,564 is: 1,966,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,632 : 910,564 = 910,564 : x
  2. Step 2: Convert to fraction form
    421,632/910,564 = 910,564/x
  3. Step 3: Cross multiply
    421,632x = 910,564 × 910,564
  4. Step 4: Simplify right side
    421,632x = 829,126,798,096
  5. Step 5: Solve for x
    x = 829,126,798,096/421,632
  6. Step 6: Final answer
    x = 1,966,470.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.