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Finding the Third Proportional to 259,229 and 370,699

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Solution

The third proportional to 259,229 and 370,699 is: 530,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,229 : 370,699 = 370,699 : x
  2. Step 2: Convert to fraction form
    259,229/370,699 = 370,699/x
  3. Step 3: Cross multiply
    259,229x = 370,699 × 370,699
  4. Step 4: Simplify right side
    259,229x = 137,417,748,601
  5. Step 5: Solve for x
    x = 137,417,748,601/259,229
  6. Step 6: Final answer
    x = 530,101.76

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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.