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Finding the Third Proportional to 528,536 and 816,132

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Solution

The third proportional to 528,536 and 816,132 is: 1,260,219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,536 : 816,132 = 816,132 : x
  2. Step 2: Convert to fraction form
    528,536/816,132 = 816,132/x
  3. Step 3: Cross multiply
    528,536x = 816,132 × 816,132
  4. Step 4: Simplify right side
    528,536x = 666,071,441,424
  5. Step 5: Solve for x
    x = 666,071,441,424/528,536
  6. Step 6: Final answer
    x = 1,260,219.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.