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Finding the Third Proportional to 155,702 and 340,486

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Solution

The third proportional to 155,702 and 340,486 is: 744,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,702 : 340,486 = 340,486 : x
  2. Step 2: Convert to fraction form
    155,702/340,486 = 340,486/x
  3. Step 3: Cross multiply
    155,702x = 340,486 × 340,486
  4. Step 4: Simplify right side
    155,702x = 115,930,716,196
  5. Step 5: Solve for x
    x = 115,930,716,196/155,702
  6. Step 6: Final answer
    x = 744,567.93

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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.