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Finding the Third Proportional to 74,378 and 157,396

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Solution

The third proportional to 74,378 and 157,396 is: 333,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,378 : 157,396 = 157,396 : x
  2. Step 2: Convert to fraction form
    74,378/157,396 = 157,396/x
  3. Step 3: Cross multiply
    74,378x = 157,396 × 157,396
  4. Step 4: Simplify right side
    74,378x = 24,773,500,816
  5. Step 5: Solve for x
    x = 24,773,500,816/74,378
  6. Step 6: Final answer
    x = 333,075.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.