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Finding the Third Proportional to 217,298.25 and 319,664.25

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Solution

The third proportional to 217,298.25 and 319,664.25 is: 470,253.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,298.25 : 319,664.25 = 319,664.25 : x
  2. Step 2: Convert to fraction form
    217,298.25/319,664.25 = 319,664.25/x
  3. Step 3: Cross multiply
    217,298.25x = 319,664.25 × 319,664.25
  4. Step 4: Simplify right side
    217,298.25x = 102,185,232,728.06
  5. Step 5: Solve for x
    x = 102,185,232,728.06/217,298.25
  6. Step 6: Final answer
    x = 470,253.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.