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Finding the Third Proportional to 253,136.25 and 369,706.50

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Solution

The third proportional to 253,136.25 and 369,706.50 is: 539,957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,136.25 : 369,706.50 = 369,706.50 : x
  2. Step 2: Convert to fraction form
    253,136.25/369,706.50 = 369,706.50/x
  3. Step 3: Cross multiply
    253,136.25x = 369,706.50 × 369,706.50
  4. Step 4: Simplify right side
    253,136.25x = 136,682,896,142.25
  5. Step 5: Solve for x
    x = 136,682,896,142.25/253,136.25
  6. Step 6: Final answer
    x = 539,957.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.