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Finding the Third Proportional to 421,848 and 911,060

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Solution

The third proportional to 421,848 and 911,060 is: 1,967,605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,848 : 911,060 = 911,060 : x
  2. Step 2: Convert to fraction form
    421,848/911,060 = 911,060/x
  3. Step 3: Cross multiply
    421,848x = 911,060 × 911,060
  4. Step 4: Simplify right side
    421,848x = 830,030,323,600
  5. Step 5: Solve for x
    x = 830,030,323,600/421,848
  6. Step 6: Final answer
    x = 1,967,605.21

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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.