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Finding the Third Proportional to 93,438,133 and 201,253,451

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Solution

The third proportional to 93,438,133 and 201,253,451 is: 433,473,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,438,133 : 201,253,451 = 201,253,451 : x
  2. Step 2: Convert to fraction form
    93,438,133/201,253,451 = 201,253,451/x
  3. Step 3: Cross multiply
    93,438,133x = 201,253,451 × 201,253,451
  4. Step 4: Simplify right side
    93,438,133x = 40,502,951,539,409,400
  5. Step 5: Solve for x
    x = 40,502,951,539,409,400/93,438,133
  6. Step 6: Final answer
    x = 433,473,467.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.