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Finding the Third Proportional to 388,136 and 579,807

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Solution

The third proportional to 388,136 and 579,807 is: 866,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,136 : 579,807 = 579,807 : x
  2. Step 2: Convert to fraction form
    388,136/579,807 = 579,807/x
  3. Step 3: Cross multiply
    388,136x = 579,807 × 579,807
  4. Step 4: Simplify right side
    388,136x = 336,176,157,249
  5. Step 5: Solve for x
    x = 336,176,157,249/388,136
  6. Step 6: Final answer
    x = 866,129.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.