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Finding the Third Proportional to 153,413 and 235,478

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Solution

The third proportional to 153,413 and 235,478 is: 361,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,413 : 235,478 = 235,478 : x
  2. Step 2: Convert to fraction form
    153,413/235,478 = 235,478/x
  3. Step 3: Cross multiply
    153,413x = 235,478 × 235,478
  4. Step 4: Simplify right side
    153,413x = 55,449,888,484
  5. Step 5: Solve for x
    x = 55,449,888,484/153,413
  6. Step 6: Final answer
    x = 361,441.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.