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Finding the Third Proportional to 77,425 and 118,358

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Solution

The third proportional to 77,425 and 118,358 is: 180,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,425 : 118,358 = 118,358 : x
  2. Step 2: Convert to fraction form
    77,425/118,358 = 118,358/x
  3. Step 3: Cross multiply
    77,425x = 118,358 × 118,358
  4. Step 4: Simplify right side
    77,425x = 14,008,616,164
  5. Step 5: Solve for x
    x = 14,008,616,164/77,425
  6. Step 6: Final answer
    x = 180,931.43

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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.