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Finding the Third Proportional to 286,618.50 and 619,929

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Solution

The third proportional to 286,618.50 and 619,929 is: 1,340,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,618.50 : 619,929 = 619,929 : x
  2. Step 2: Convert to fraction form
    286,618.50/619,929 = 619,929/x
  3. Step 3: Cross multiply
    286,618.50x = 619,929 × 619,929
  4. Step 4: Simplify right side
    286,618.50x = 384,311,965,041
  5. Step 5: Solve for x
    x = 384,311,965,041/286,618.50
  6. Step 6: Final answer
    x = 1,340,848.43

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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.