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Finding the Third Proportional to 252,258.88 and 390,997.50

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Solution

The third proportional to 252,258.88 and 390,997.50 is: 606,040.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,258.88 : 390,997.50 = 390,997.50 : x
  2. Step 2: Convert to fraction form
    252,258.88/390,997.50 = 390,997.50/x
  3. Step 3: Cross multiply
    252,258.88x = 390,997.50 × 390,997.50
  4. Step 4: Simplify right side
    252,258.88x = 152,879,045,006.25
  5. Step 5: Solve for x
    x = 152,879,045,006.25/252,258.88
  6. Step 6: Final answer
    x = 606,040.30

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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.