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Finding the Third Proportional to 202,610 and 432,562

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Solution

The third proportional to 202,610 and 432,562 is: 923,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,610 : 432,562 = 432,562 : x
  2. Step 2: Convert to fraction form
    202,610/432,562 = 432,562/x
  3. Step 3: Cross multiply
    202,610x = 432,562 × 432,562
  4. Step 4: Simplify right side
    202,610x = 187,109,883,844
  5. Step 5: Solve for x
    x = 187,109,883,844/202,610
  6. Step 6: Final answer
    x = 923,497.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.