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Finding the Third Proportional to 155,709 and 340,497

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Solution

The third proportional to 155,709 and 340,497 is: 744,582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,709 : 340,497 = 340,497 : x
  2. Step 2: Convert to fraction form
    155,709/340,497 = 340,497/x
  3. Step 3: Cross multiply
    155,709x = 340,497 × 340,497
  4. Step 4: Simplify right side
    155,709x = 115,938,207,009
  5. Step 5: Solve for x
    x = 115,938,207,009/155,709
  6. Step 6: Final answer
    x = 744,582.57

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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.