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Finding the Third Proportional to 93,366.75 and 200,046

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Solution

The third proportional to 93,366.75 and 200,046 is: 428,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,366.75 : 200,046 = 200,046 : x
  2. Step 2: Convert to fraction form
    93,366.75/200,046 = 200,046/x
  3. Step 3: Cross multiply
    93,366.75x = 200,046 × 200,046
  4. Step 4: Simplify right side
    93,366.75x = 40,018,402,116
  5. Step 5: Solve for x
    x = 40,018,402,116/93,366.75
  6. Step 6: Final answer
    x = 428,615.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.