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Finding the Third Proportional to 318,486 and 488,784

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Solution

The third proportional to 318,486 and 488,784 is: 750,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,486 : 488,784 = 488,784 : x
  2. Step 2: Convert to fraction form
    318,486/488,784 = 488,784/x
  3. Step 3: Cross multiply
    318,486x = 488,784 × 488,784
  4. Step 4: Simplify right side
    318,486x = 238,909,798,656
  5. Step 5: Solve for x
    x = 238,909,798,656/318,486
  6. Step 6: Final answer
    x = 750,142.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.