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Finding the Third Proportional to 206,084.88 and 448,460.30

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Solution

The third proportional to 206,084.88 and 448,460.30 is: 975,892.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,084.88 : 448,460.30 = 448,460.30 : x
  2. Step 2: Convert to fraction form
    206,084.88/448,460.30 = 448,460.30/x
  3. Step 3: Cross multiply
    206,084.88x = 448,460.30 × 448,460.30
  4. Step 4: Simplify right side
    206,084.88x = 201,116,637,873.21
  5. Step 5: Solve for x
    x = 201,116,637,873.21/206,084.88
  6. Step 6: Final answer
    x = 975,892.24

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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.