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Finding the Third Proportional to 155,072 and 334,912

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Solution

The third proportional to 155,072 and 334,912 is: 723,315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,072 : 334,912 = 334,912 : x
  2. Step 2: Convert to fraction form
    155,072/334,912 = 334,912/x
  3. Step 3: Cross multiply
    155,072x = 334,912 × 334,912
  4. Step 4: Simplify right side
    155,072x = 112,166,047,744
  5. Step 5: Solve for x
    x = 112,166,047,744/155,072
  6. Step 6: Final answer
    x = 723,315.93

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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.