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Finding the Third Proportional to 77,268.94 and 160,457.20

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Solution

The third proportional to 77,268.94 and 160,457.20 is: 333,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,268.94 : 160,457.20 = 160,457.20 : x
  2. Step 2: Convert to fraction form
    77,268.94/160,457.20 = 160,457.20/x
  3. Step 3: Cross multiply
    77,268.94x = 160,457.20 × 160,457.20
  4. Step 4: Simplify right side
    77,268.94x = 25,746,514,034.70
  5. Step 5: Solve for x
    x = 25,746,514,034.70/77,268.94
  6. Step 6: Final answer
    x = 333,206.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.