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Finding the Third Proportional to 369,036 and 782,136

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Solution

The third proportional to 369,036 and 782,136 is: 1,657,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,036 : 782,136 = 782,136 : x
  2. Step 2: Convert to fraction form
    369,036/782,136 = 782,136/x
  3. Step 3: Cross multiply
    369,036x = 782,136 × 782,136
  4. Step 4: Simplify right side
    369,036x = 611,736,722,496
  5. Step 5: Solve for x
    x = 611,736,722,496/369,036
  6. Step 6: Final answer
    x = 1,657,661.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.