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Finding the Third Proportional to 578,369 and 864,151

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Solution

The third proportional to 578,369 and 864,151 is: 1,291,142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,369 : 864,151 = 864,151 : x
  2. Step 2: Convert to fraction form
    578,369/864,151 = 864,151/x
  3. Step 3: Cross multiply
    578,369x = 864,151 × 864,151
  4. Step 4: Simplify right side
    578,369x = 746,756,950,801
  5. Step 5: Solve for x
    x = 746,756,950,801/578,369
  6. Step 6: Final answer
    x = 1,291,142.77

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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.