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Finding the Third Proportional to 207,840 and 452,072

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Solution

The third proportional to 207,840 and 452,072 is: 983,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,840 : 452,072 = 452,072 : x
  2. Step 2: Convert to fraction form
    207,840/452,072 = 452,072/x
  3. Step 3: Cross multiply
    207,840x = 452,072 × 452,072
  4. Step 4: Simplify right side
    207,840x = 204,369,093,184
  5. Step 5: Solve for x
    x = 204,369,093,184/207,840
  6. Step 6: Final answer
    x = 983,300.10

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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.