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Finding the Third Proportional to 398,536 and 860,031

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Solution

The third proportional to 398,536 and 860,031 is: 1,855,925.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,536 : 860,031 = 860,031 : x
  2. Step 2: Convert to fraction form
    398,536/860,031 = 860,031/x
  3. Step 3: Cross multiply
    398,536x = 860,031 × 860,031
  4. Step 4: Simplify right side
    398,536x = 739,653,320,961
  5. Step 5: Solve for x
    x = 739,653,320,961/398,536
  6. Step 6: Final answer
    x = 1,855,925.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.