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Finding the Third Proportional to 242,988 and 525,912

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Solution

The third proportional to 242,988 and 525,912 is: 1,138,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,988 : 525,912 = 525,912 : x
  2. Step 2: Convert to fraction form
    242,988/525,912 = 525,912/x
  3. Step 3: Cross multiply
    242,988x = 525,912 × 525,912
  4. Step 4: Simplify right side
    242,988x = 276,583,431,744
  5. Step 5: Solve for x
    x = 276,583,431,744/242,988
  6. Step 6: Final answer
    x = 1,138,259.63

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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.