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Finding the Third Proportional to 239,785 and 358,029

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Solution

The third proportional to 239,785 and 358,029 is: 534,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,785 : 358,029 = 358,029 : x
  2. Step 2: Convert to fraction form
    239,785/358,029 = 358,029/x
  3. Step 3: Cross multiply
    239,785x = 358,029 × 358,029
  4. Step 4: Simplify right side
    239,785x = 128,184,764,841
  5. Step 5: Solve for x
    x = 128,184,764,841/239,785
  6. Step 6: Final answer
    x = 534,582.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.