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Finding the Third Proportional to 308,987.16 and 477,479.81

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Solution

The third proportional to 308,987.16 and 477,479.81 is: 737,852.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,987.16 : 477,479.81 = 477,479.81 : x
  2. Step 2: Convert to fraction form
    308,987.16/477,479.81 = 477,479.81/x
  3. Step 3: Cross multiply
    308,987.16x = 477,479.81 × 477,479.81
  4. Step 4: Simplify right side
    308,987.16x = 227,986,971,345.04
  5. Step 5: Solve for x
    x = 227,986,971,345.04/308,987.16
  6. Step 6: Final answer
    x = 737,852.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.