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Finding the Third Proportional to 77,580 and 118,625.63

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Solution

The third proportional to 77,580 and 118,625.63 is: 181,387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,580 : 118,625.63 = 118,625.63 : x
  2. Step 2: Convert to fraction form
    77,580/118,625.63 = 118,625.63/x
  3. Step 3: Cross multiply
    77,580x = 118,625.63 × 118,625.63
  4. Step 4: Simplify right side
    77,580x = 14,072,038,906.64
  5. Step 5: Solve for x
    x = 14,072,038,906.64/77,580
  6. Step 6: Final answer
    x = 181,387.46

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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.