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Finding the Third Proportional to 305,228.25 and 662,985

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Solution

The third proportional to 305,228.25 and 662,985 is: 1,440,066.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,228.25 : 662,985 = 662,985 : x
  2. Step 2: Convert to fraction form
    305,228.25/662,985 = 662,985/x
  3. Step 3: Cross multiply
    305,228.25x = 662,985 × 662,985
  4. Step 4: Simplify right side
    305,228.25x = 439,549,110,225
  5. Step 5: Solve for x
    x = 439,549,110,225/305,228.25
  6. Step 6: Final answer
    x = 1,440,066.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.