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Finding the Third Proportional to 201,820 and 432,617

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Solution

The third proportional to 201,820 and 432,617 is: 927,348.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,820 : 432,617 = 432,617 : x
  2. Step 2: Convert to fraction form
    201,820/432,617 = 432,617/x
  3. Step 3: Cross multiply
    201,820x = 432,617 × 432,617
  4. Step 4: Simplify right side
    201,820x = 187,157,468,689
  5. Step 5: Solve for x
    x = 187,157,468,689/201,820
  6. Step 6: Final answer
    x = 927,348.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.