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Finding the Third Proportional to 275,595 and 390,069.75

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Solution

The third proportional to 275,595 and 390,069.75 is: 552,094.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,595 : 390,069.75 = 390,069.75 : x
  2. Step 2: Convert to fraction form
    275,595/390,069.75 = 390,069.75/x
  3. Step 3: Cross multiply
    275,595x = 390,069.75 × 390,069.75
  4. Step 4: Simplify right side
    275,595x = 152,154,409,865.06
  5. Step 5: Solve for x
    x = 152,154,409,865.06/275,595
  6. Step 6: Final answer
    x = 552,094.23

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.