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Finding the Third Proportional to 235,122 and 358,209

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Solution

The third proportional to 235,122 and 358,209 is: 545,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,122 : 358,209 = 358,209 : x
  2. Step 2: Convert to fraction form
    235,122/358,209 = 358,209/x
  3. Step 3: Cross multiply
    235,122x = 358,209 × 358,209
  4. Step 4: Simplify right side
    235,122x = 128,313,687,681
  5. Step 5: Solve for x
    x = 128,313,687,681/235,122
  6. Step 6: Final answer
    x = 545,732.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.