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Finding the Third Proportional to 317,187 and 432,028

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Solution

The third proportional to 317,187 and 432,028 is: 588,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,187 : 432,028 = 432,028 : x
  2. Step 2: Convert to fraction form
    317,187/432,028 = 432,028/x
  3. Step 3: Cross multiply
    317,187x = 432,028 × 432,028
  4. Step 4: Simplify right side
    317,187x = 186,648,192,784
  5. Step 5: Solve for x
    x = 186,648,192,784/317,187
  6. Step 6: Final answer
    x = 588,448.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.