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Finding the Third Proportional to 282,100 and 432,102

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Solution

The third proportional to 282,100 and 432,102 is: 661,865.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,100 : 432,102 = 432,102 : x
  2. Step 2: Convert to fraction form
    282,100/432,102 = 432,102/x
  3. Step 3: Cross multiply
    282,100x = 432,102 × 432,102
  4. Step 4: Simplify right side
    282,100x = 186,712,138,404
  5. Step 5: Solve for x
    x = 186,712,138,404/282,100
  6. Step 6: Final answer
    x = 661,865.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.