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Finding the Third Proportional to 235,143 and 358,242.75

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Solution

The third proportional to 235,143 and 358,242.75 is: 545,786.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,143 : 358,242.75 = 358,242.75 : x
  2. Step 2: Convert to fraction form
    235,143/358,242.75 = 358,242.75/x
  3. Step 3: Cross multiply
    235,143x = 358,242.75 × 358,242.75
  4. Step 4: Simplify right side
    235,143x = 128,337,867,927.56
  5. Step 5: Solve for x
    x = 128,337,867,927.56/235,143
  6. Step 6: Final answer
    x = 545,786.47

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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.