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Finding the Third Proportional to 210,136 and 288,960

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Solution

The third proportional to 210,136 and 288,960 is: 397,351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,136 : 288,960 = 288,960 : x
  2. Step 2: Convert to fraction form
    210,136/288,960 = 288,960/x
  3. Step 3: Cross multiply
    210,136x = 288,960 × 288,960
  4. Step 4: Simplify right side
    210,136x = 83,497,881,600
  5. Step 5: Solve for x
    x = 83,497,881,600/210,136
  6. Step 6: Final answer
    x = 397,351.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.