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Finding the Third Proportional to 628,627.50 and 1,357,695

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Solution

The third proportional to 628,627.50 and 1,357,695 is: 2,932,317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,627.50 : 1,357,695 = 1,357,695 : x
  2. Step 2: Convert to fraction form
    628,627.50/1,357,695 = 1,357,695/x
  3. Step 3: Cross multiply
    628,627.50x = 1,357,695 × 1,357,695
  4. Step 4: Simplify right side
    628,627.50x = 1,843,335,713,025
  5. Step 5: Solve for x
    x = 1,843,335,713,025/628,627.50
  6. Step 6: Final answer
    x = 2,932,317.97

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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.