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Finding the Third Proportional to 291,296.25 and 630,024.75

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Solution

The third proportional to 291,296.25 and 630,024.75 is: 1,362,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,296.25 : 630,024.75 = 630,024.75 : x
  2. Step 2: Convert to fraction form
    291,296.25/630,024.75 = 630,024.75/x
  3. Step 3: Cross multiply
    291,296.25x = 630,024.75 × 630,024.75
  4. Step 4: Simplify right side
    291,296.25x = 396,931,185,612.56
  5. Step 5: Solve for x
    x = 396,931,185,612.56/291,296.25
  6. Step 6: Final answer
    x = 1,362,637.47

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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.