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Finding the Third Proportional to 409,330.13 and 586,141.31

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Solution

The third proportional to 409,330.13 and 586,141.31 is: 839,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,330.13 : 586,141.31 = 586,141.31 : x
  2. Step 2: Convert to fraction form
    409,330.13/586,141.31 = 586,141.31/x
  3. Step 3: Cross multiply
    409,330.13x = 586,141.31 × 586,141.31
  4. Step 4: Simplify right side
    409,330.13x = 343,561,638,219.22
  5. Step 5: Solve for x
    x = 343,561,638,219.22/409,330.13
  6. Step 6: Final answer
    x = 839,326.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.