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Finding the Third Proportional to 209,807.25 and 316,451.63

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Solution

The third proportional to 209,807.25 and 316,451.63 is: 477,303.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,807.25 : 316,451.63 = 316,451.63 : x
  2. Step 2: Convert to fraction form
    209,807.25/316,451.63 = 316,451.63/x
  3. Step 3: Cross multiply
    209,807.25x = 316,451.63 × 316,451.63
  4. Step 4: Simplify right side
    209,807.25x = 100,141,630,965.14
  5. Step 5: Solve for x
    x = 100,141,630,965.14/209,807.25
  6. Step 6: Final answer
    x = 477,303.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.