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Finding the Third Proportional to 258,288 and 387,417

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Solution

The third proportional to 258,288 and 387,417 is: 581,103.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,288 : 387,417 = 387,417 : x
  2. Step 2: Convert to fraction form
    258,288/387,417 = 387,417/x
  3. Step 3: Cross multiply
    258,288x = 387,417 × 387,417
  4. Step 4: Simplify right side
    258,288x = 150,091,931,889
  5. Step 5: Solve for x
    x = 150,091,931,889/258,288
  6. Step 6: Final answer
    x = 581,103.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.