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Finding the Third Proportional to 258,343.50 and 377,307.75

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Solution

The third proportional to 258,343.50 and 377,307.75 is: 551,053.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,343.50 : 377,307.75 = 377,307.75 : x
  2. Step 2: Convert to fraction form
    258,343.50/377,307.75 = 377,307.75/x
  3. Step 3: Cross multiply
    258,343.50x = 377,307.75 × 377,307.75
  4. Step 4: Simplify right side
    258,343.50x = 142,361,138,210.06
  5. Step 5: Solve for x
    x = 142,361,138,210.06/258,343.50
  6. Step 6: Final answer
    x = 551,053.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.