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Finding the Third Proportional to 528,212 and 1,138,558

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Solution

The third proportional to 528,212 and 1,138,558 is: 2,454,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,212 : 1,138,558 = 1,138,558 : x
  2. Step 2: Convert to fraction form
    528,212/1,138,558 = 1,138,558/x
  3. Step 3: Cross multiply
    528,212x = 1,138,558 × 1,138,558
  4. Step 4: Simplify right side
    528,212x = 1,296,314,319,364
  5. Step 5: Solve for x
    x = 1,296,314,319,364/528,212
  6. Step 6: Final answer
    x = 2,454,155.38

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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.