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Finding the Third Proportional to 374,315 and 488,208

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Solution

The third proportional to 374,315 and 488,208 is: 636,755.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,315 : 488,208 = 488,208 : x
  2. Step 2: Convert to fraction form
    374,315/488,208 = 488,208/x
  3. Step 3: Cross multiply
    374,315x = 488,208 × 488,208
  4. Step 4: Simplify right side
    374,315x = 238,347,051,264
  5. Step 5: Solve for x
    x = 238,347,051,264/374,315
  6. Step 6: Final answer
    x = 636,755.28

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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.