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Finding the Third Proportional to 155,757 and 340,998

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Solution

The third proportional to 155,757 and 340,998 is: 746,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,757 : 340,998 = 340,998 : x
  2. Step 2: Convert to fraction form
    155,757/340,998 = 340,998/x
  3. Step 3: Cross multiply
    155,757x = 340,998 × 340,998
  4. Step 4: Simplify right side
    155,757x = 116,279,636,004
  5. Step 5: Solve for x
    x = 116,279,636,004/155,757
  6. Step 6: Final answer
    x = 746,545.17

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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.