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Finding the Third Proportional to 239,478 and 375,669

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Solution

The third proportional to 239,478 and 375,669 is: 589,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,478 : 375,669 = 375,669 : x
  2. Step 2: Convert to fraction form
    239,478/375,669 = 375,669/x
  3. Step 3: Cross multiply
    239,478x = 375,669 × 375,669
  4. Step 4: Simplify right side
    239,478x = 141,127,197,561
  5. Step 5: Solve for x
    x = 141,127,197,561/239,478
  6. Step 6: Final answer
    x = 589,311.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.