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Finding the Third Proportional to 251,926.50 and 390,058.50

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Solution

The third proportional to 251,926.50 and 390,058.50 is: 603,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,926.50 : 390,058.50 = 390,058.50 : x
  2. Step 2: Convert to fraction form
    251,926.50/390,058.50 = 390,058.50/x
  3. Step 3: Cross multiply
    251,926.50x = 390,058.50 × 390,058.50
  4. Step 4: Simplify right side
    251,926.50x = 152,145,633,422.25
  5. Step 5: Solve for x
    x = 152,145,633,422.25/251,926.50
  6. Step 6: Final answer
    x = 603,928.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.