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Finding the Third Proportional to 145,816.50 and 208,518

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Solution

The third proportional to 145,816.50 and 208,518 is: 298,181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,816.50 : 208,518 = 208,518 : x
  2. Step 2: Convert to fraction form
    145,816.50/208,518 = 208,518/x
  3. Step 3: Cross multiply
    145,816.50x = 208,518 × 208,518
  4. Step 4: Simplify right side
    145,816.50x = 43,479,756,324
  5. Step 5: Solve for x
    x = 43,479,756,324/145,816.50
  6. Step 6: Final answer
    x = 298,181.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.