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Finding the Third Proportional to 427,712.63 and 918,605.25

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Solution

The third proportional to 427,712.63 and 918,605.25 is: 1,972,903.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,712.63 : 918,605.25 = 918,605.25 : x
  2. Step 2: Convert to fraction form
    427,712.63/918,605.25 = 918,605.25/x
  3. Step 3: Cross multiply
    427,712.63x = 918,605.25 × 918,605.25
  4. Step 4: Simplify right side
    427,712.63x = 843,835,605,327.56
  5. Step 5: Solve for x
    x = 843,835,605,327.56/427,712.63
  6. Step 6: Final answer
    x = 1,972,903.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.