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Finding the Third Proportional to 207,643.50 and 437,157

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Solution

The third proportional to 207,643.50 and 437,157 is: 920,357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,643.50 : 437,157 = 437,157 : x
  2. Step 2: Convert to fraction form
    207,643.50/437,157 = 437,157/x
  3. Step 3: Cross multiply
    207,643.50x = 437,157 × 437,157
  4. Step 4: Simplify right side
    207,643.50x = 191,106,242,649
  5. Step 5: Solve for x
    x = 191,106,242,649/207,643.50
  6. Step 6: Final answer
    x = 920,357.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.