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Finding the Third Proportional to 243,997.31 and 528,722.44

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Solution

The third proportional to 243,997.31 and 528,722.44 is: 1,145,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,997.31 : 528,722.44 = 528,722.44 : x
  2. Step 2: Convert to fraction form
    243,997.31/528,722.44 = 528,722.44/x
  3. Step 3: Cross multiply
    243,997.31x = 528,722.44 × 528,722.44
  4. Step 4: Simplify right side
    243,997.31x = 279,547,415,915.94
  5. Step 5: Solve for x
    x = 279,547,415,915.94/243,997.31
  6. Step 6: Final answer
    x = 1,145,698.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.