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Finding the Third Proportional to 245,722.50 and 390,714.75

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Solution

The third proportional to 245,722.50 and 390,714.75 is: 621,261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,722.50 : 390,714.75 = 390,714.75 : x
  2. Step 2: Convert to fraction form
    245,722.50/390,714.75 = 390,714.75/x
  3. Step 3: Cross multiply
    245,722.50x = 390,714.75 × 390,714.75
  4. Step 4: Simplify right side
    245,722.50x = 152,658,015,867.56
  5. Step 5: Solve for x
    x = 152,658,015,867.56/245,722.50
  6. Step 6: Final answer
    x = 621,261.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.