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Finding the Third Proportional to 251,970.75 and 390,156.75

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Solution

The third proportional to 251,970.75 and 390,156.75 is: 604,126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,970.75 : 390,156.75 = 390,156.75 : x
  2. Step 2: Convert to fraction form
    251,970.75/390,156.75 = 390,156.75/x
  3. Step 3: Cross multiply
    251,970.75x = 390,156.75 × 390,156.75
  4. Step 4: Simplify right side
    251,970.75x = 152,222,289,570.56
  5. Step 5: Solve for x
    x = 152,222,289,570.56/251,970.75
  6. Step 6: Final answer
    x = 604,126.83

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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.