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Finding the Third Proportional to 117,840 and 254,358

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Solution

The third proportional to 117,840 and 254,358 is: 549,032.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,840 : 254,358 = 254,358 : x
  2. Step 2: Convert to fraction form
    117,840/254,358 = 254,358/x
  3. Step 3: Cross multiply
    117,840x = 254,358 × 254,358
  4. Step 4: Simplify right side
    117,840x = 64,697,992,164
  5. Step 5: Solve for x
    x = 64,697,992,164/117,840
  6. Step 6: Final answer
    x = 549,032.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.