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Finding the Third Proportional to 258,370 and 377,331

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Solution

The third proportional to 258,370 and 377,331 is: 551,065.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,370 : 377,331 = 377,331 : x
  2. Step 2: Convert to fraction form
    258,370/377,331 = 377,331/x
  3. Step 3: Cross multiply
    258,370x = 377,331 × 377,331
  4. Step 4: Simplify right side
    258,370x = 142,378,683,561
  5. Step 5: Solve for x
    x = 142,378,683,561/258,370
  6. Step 6: Final answer
    x = 551,065.08

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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.