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Finding the Third Proportional to 239,780 and 358,023

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Solution

The third proportional to 239,780 and 358,023 is: 534,575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,780 : 358,023 = 358,023 : x
  2. Step 2: Convert to fraction form
    239,780/358,023 = 358,023/x
  3. Step 3: Cross multiply
    239,780x = 358,023 × 358,023
  4. Step 4: Simplify right side
    239,780x = 128,180,468,529
  5. Step 5: Solve for x
    x = 128,180,468,529/239,780
  6. Step 6: Final answer
    x = 534,575.31

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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.