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Finding the Third Proportional to 243,128 and 528,814

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Solution

The third proportional to 243,128 and 528,814 is: 1,150,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,128 : 528,814 = 528,814 : x
  2. Step 2: Convert to fraction form
    243,128/528,814 = 528,814/x
  3. Step 3: Cross multiply
    243,128x = 528,814 × 528,814
  4. Step 4: Simplify right side
    243,128x = 279,644,246,596
  5. Step 5: Solve for x
    x = 279,644,246,596/243,128
  6. Step 6: Final answer
    x = 1,150,193.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.