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Finding the Third Proportional to 153,340 and 312,912

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Solution

The third proportional to 153,340 and 312,912 is: 638,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,340 : 312,912 = 312,912 : x
  2. Step 2: Convert to fraction form
    153,340/312,912 = 312,912/x
  3. Step 3: Cross multiply
    153,340x = 312,912 × 312,912
  4. Step 4: Simplify right side
    153,340x = 97,913,919,744
  5. Step 5: Solve for x
    x = 97,913,919,744/153,340
  6. Step 6: Final answer
    x = 638,541.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.