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Finding the Third Proportional to 578,469 and 889,701

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Solution

The third proportional to 578,469 and 889,701 is: 1,368,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,469 : 889,701 = 889,701 : x
  2. Step 2: Convert to fraction form
    578,469/889,701 = 889,701/x
  3. Step 3: Cross multiply
    578,469x = 889,701 × 889,701
  4. Step 4: Simplify right side
    578,469x = 791,567,869,401
  5. Step 5: Solve for x
    x = 791,567,869,401/578,469
  6. Step 6: Final answer
    x = 1,368,384.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.