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Finding the Third Proportional to 155,699 and 340,480

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Solution

The third proportional to 155,699 and 340,480 is: 744,556.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,699 : 340,480 = 340,480 : x
  2. Step 2: Convert to fraction form
    155,699/340,480 = 340,480/x
  3. Step 3: Cross multiply
    155,699x = 340,480 × 340,480
  4. Step 4: Simplify right side
    155,699x = 115,926,630,400
  5. Step 5: Solve for x
    x = 115,926,630,400/155,699
  6. Step 6: Final answer
    x = 744,556.04

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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.