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Finding the Third Proportional to 415,388 and 900,760

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Solution

The third proportional to 415,388 and 900,760 is: 1,953,278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,388 : 900,760 = 900,760 : x
  2. Step 2: Convert to fraction form
    415,388/900,760 = 900,760/x
  3. Step 3: Cross multiply
    415,388x = 900,760 × 900,760
  4. Step 4: Simplify right side
    415,388x = 811,368,577,600
  5. Step 5: Solve for x
    x = 811,368,577,600/415,388
  6. Step 6: Final answer
    x = 1,953,278.81

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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.