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Finding the Third Proportional to 93,849.47 and 221,446.78

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Solution

The third proportional to 93,849.47 and 221,446.78 is: 522,524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,849.47 : 221,446.78 = 221,446.78 : x
  2. Step 2: Convert to fraction form
    93,849.47/221,446.78 = 221,446.78/x
  3. Step 3: Cross multiply
    93,849.47x = 221,446.78 × 221,446.78
  4. Step 4: Simplify right side
    93,849.47x = 49,038,676,925.99
  5. Step 5: Solve for x
    x = 49,038,676,925.99/93,849.47
  6. Step 6: Final answer
    x = 522,524.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.