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Finding the Third Proportional to 155,701 and 340,484

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Solution

The third proportional to 155,701 and 340,484 is: 744,563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,701 : 340,484 = 340,484 : x
  2. Step 2: Convert to fraction form
    155,701/340,484 = 340,484/x
  3. Step 3: Cross multiply
    155,701x = 340,484 × 340,484
  4. Step 4: Simplify right side
    155,701x = 115,929,354,256
  5. Step 5: Solve for x
    x = 115,929,354,256/155,701
  6. Step 6: Final answer
    x = 744,563.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.