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Finding the Third Proportional to 258,347 and 377,312

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Solution

The third proportional to 258,347 and 377,312 is: 551,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,347 : 377,312 = 377,312 : x
  2. Step 2: Convert to fraction form
    258,347/377,312 = 377,312/x
  3. Step 3: Cross multiply
    258,347x = 377,312 × 377,312
  4. Step 4: Simplify right side
    258,347x = 142,364,345,344
  5. Step 5: Solve for x
    x = 142,364,345,344/258,347
  6. Step 6: Final answer
    x = 551,058.64

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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.