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Finding the Third Proportional to 155,711 and 340,501

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Solution

The third proportional to 155,711 and 340,501 is: 744,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,711 : 340,501 = 340,501 : x
  2. Step 2: Convert to fraction form
    155,711/340,501 = 340,501/x
  3. Step 3: Cross multiply
    155,711x = 340,501 × 340,501
  4. Step 4: Simplify right side
    155,711x = 115,940,931,001
  5. Step 5: Solve for x
    x = 115,940,931,001/155,711
  6. Step 6: Final answer
    x = 744,590.50

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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.