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Finding the Third Proportional to 415,309.78 and 907,486.03

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Solution

The third proportional to 415,309.78 and 907,486.03 is: 1,982,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,309.78 : 907,486.03 = 907,486.03 : x
  2. Step 2: Convert to fraction form
    415,309.78/907,486.03 = 907,486.03/x
  3. Step 3: Cross multiply
    415,309.78x = 907,486.03 × 907,486.03
  4. Step 4: Simplify right side
    415,309.78x = 823,530,896,913.88
  5. Step 5: Solve for x
    x = 823,530,896,913.88/415,309.78
  6. Step 6: Final answer
    x = 1,982,931.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.