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Finding the Third Proportional to 374,317 and 488,211

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Solution

The third proportional to 374,317 and 488,211 is: 636,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,317 : 488,211 = 488,211 : x
  2. Step 2: Convert to fraction form
    374,317/488,211 = 488,211/x
  3. Step 3: Cross multiply
    374,317x = 488,211 × 488,211
  4. Step 4: Simplify right side
    374,317x = 238,349,980,521
  5. Step 5: Solve for x
    x = 238,349,980,521/374,317
  6. Step 6: Final answer
    x = 636,759.70

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.