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Finding the Third Proportional to 388,593 and 916,011

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Solution

The third proportional to 388,593 and 916,011 is: 2,159,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,593 : 916,011 = 916,011 : x
  2. Step 2: Convert to fraction form
    388,593/916,011 = 916,011/x
  3. Step 3: Cross multiply
    388,593x = 916,011 × 916,011
  4. Step 4: Simplify right side
    388,593x = 839,076,152,121
  5. Step 5: Solve for x
    x = 839,076,152,121/388,593
  6. Step 6: Final answer
    x = 2,159,267.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.