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Finding the Third Proportional to 274,968 and 402,607

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Solution

The third proportional to 274,968 and 402,607 is: 589,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,968 : 402,607 = 402,607 : x
  2. Step 2: Convert to fraction form
    274,968/402,607 = 402,607/x
  3. Step 3: Cross multiply
    274,968x = 402,607 × 402,607
  4. Step 4: Simplify right side
    274,968x = 162,092,396,449
  5. Step 5: Solve for x
    x = 162,092,396,449/274,968
  6. Step 6: Final answer
    x = 589,495.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.