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Finding the Third Proportional to 308,134.13 and 488,931.19

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Solution

The third proportional to 308,134.13 and 488,931.19 is: 775,810.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,134.13 : 488,931.19 = 488,931.19 : x
  2. Step 2: Convert to fraction form
    308,134.13/488,931.19 = 488,931.19/x
  3. Step 3: Cross multiply
    308,134.13x = 488,931.19 × 488,931.19
  4. Step 4: Simplify right side
    308,134.13x = 239,053,706,110.16
  5. Step 5: Solve for x
    x = 239,053,706,110.16/308,134.13
  6. Step 6: Final answer
    x = 775,810.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.