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Finding the Third Proportional to 76,964 and 118,220

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Solution

The third proportional to 76,964 and 118,220 is: 181,590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,964 : 118,220 = 118,220 : x
  2. Step 2: Convert to fraction form
    76,964/118,220 = 118,220/x
  3. Step 3: Cross multiply
    76,964x = 118,220 × 118,220
  4. Step 4: Simplify right side
    76,964x = 13,975,968,400
  5. Step 5: Solve for x
    x = 13,975,968,400/76,964
  6. Step 6: Final answer
    x = 181,590.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.