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Finding the Third Proportional to 398,310 and 860,007

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Solution

The third proportional to 398,310 and 860,007 is: 1,856,875.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,310 : 860,007 = 860,007 : x
  2. Step 2: Convert to fraction form
    398,310/860,007 = 860,007/x
  3. Step 3: Cross multiply
    398,310x = 860,007 × 860,007
  4. Step 4: Simplify right side
    398,310x = 739,612,040,049
  5. Step 5: Solve for x
    x = 739,612,040,049/398,310
  6. Step 6: Final answer
    x = 1,856,875.40

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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.