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Finding the Third Proportional to 76,232 and 202,346

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Solution

The third proportional to 76,232 and 202,346 is: 537,096.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,232 : 202,346 = 202,346 : x
  2. Step 2: Convert to fraction form
    76,232/202,346 = 202,346/x
  3. Step 3: Cross multiply
    76,232x = 202,346 × 202,346
  4. Step 4: Simplify right side
    76,232x = 40,943,903,716
  5. Step 5: Solve for x
    x = 40,943,903,716/76,232
  6. Step 6: Final answer
    x = 537,096.02

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.