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Finding the Third Proportional to 286,782.75 and 630,182.25

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Solution

The third proportional to 286,782.75 and 630,182.25 is: 1,384,775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,782.75 : 630,182.25 = 630,182.25 : x
  2. Step 2: Convert to fraction form
    286,782.75/630,182.25 = 630,182.25/x
  3. Step 3: Cross multiply
    286,782.75x = 630,182.25 × 630,182.25
  4. Step 4: Simplify right side
    286,782.75x = 397,129,668,215.06
  5. Step 5: Solve for x
    x = 397,129,668,215.06/286,782.75
  6. Step 6: Final answer
    x = 1,384,775.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.