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Finding the Third Proportional to 378,985.50 and 553,689

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Solution

The third proportional to 378,985.50 and 553,689 is: 808,926.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,985.50 : 553,689 = 553,689 : x
  2. Step 2: Convert to fraction form
    378,985.50/553,689 = 553,689/x
  3. Step 3: Cross multiply
    378,985.50x = 553,689 × 553,689
  4. Step 4: Simplify right side
    378,985.50x = 306,571,508,721
  5. Step 5: Solve for x
    x = 306,571,508,721/378,985.50
  6. Step 6: Final answer
    x = 808,926.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.