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Finding the Third Proportional to 423,918.56 and 921,466.13

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Solution

The third proportional to 423,918.56 and 921,466.13 is: 2,002,978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,918.56 : 921,466.13 = 921,466.13 : x
  2. Step 2: Convert to fraction form
    423,918.56/921,466.13 = 921,466.13/x
  3. Step 3: Cross multiply
    423,918.56x = 921,466.13 × 921,466.13
  4. Step 4: Simplify right side
    423,918.56x = 849,099,819,522.52
  5. Step 5: Solve for x
    x = 849,099,819,522.52/423,918.56
  6. Step 6: Final answer
    x = 2,002,978.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.