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Finding the Third Proportional to 85,878 and 183,550

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Solution

The third proportional to 85,878 and 183,550 is: 392,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,878 : 183,550 = 183,550 : x
  2. Step 2: Convert to fraction form
    85,878/183,550 = 183,550/x
  3. Step 3: Cross multiply
    85,878x = 183,550 × 183,550
  4. Step 4: Simplify right side
    85,878x = 33,690,602,500
  5. Step 5: Solve for x
    x = 33,690,602,500/85,878
  6. Step 6: Final answer
    x = 392,307.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.