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Finding the Third Proportional to 93,478.50 and 204,088.13

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Solution

The third proportional to 93,478.50 and 204,088.13 is: 445,578.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,478.50 : 204,088.13 = 204,088.13 : x
  2. Step 2: Convert to fraction form
    93,478.50/204,088.13 = 204,088.13/x
  3. Step 3: Cross multiply
    93,478.50x = 204,088.13 × 204,088.13
  4. Step 4: Simplify right side
    93,478.50x = 41,651,962,766.02
  5. Step 5: Solve for x
    x = 41,651,962,766.02/93,478.50
  6. Step 6: Final answer
    x = 445,578.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.