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Finding the Third Proportional to 357,808.50 and 484,215.75

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Solution

The third proportional to 357,808.50 and 484,215.75 is: 655,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,808.50 : 484,215.75 = 484,215.75 : x
  2. Step 2: Convert to fraction form
    357,808.50/484,215.75 = 484,215.75/x
  3. Step 3: Cross multiply
    357,808.50x = 484,215.75 × 484,215.75
  4. Step 4: Simplify right side
    357,808.50x = 234,464,892,548.06
  5. Step 5: Solve for x
    x = 234,464,892,548.06/357,808.50
  6. Step 6: Final answer
    x = 655,280.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.