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Finding the Third Proportional to 310,051.13 and 438,847.88

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Solution

The third proportional to 310,051.13 and 438,847.88 is: 621,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,051.13 : 438,847.88 = 438,847.88 : x
  2. Step 2: Convert to fraction form
    310,051.13/438,847.88 = 438,847.88/x
  3. Step 3: Cross multiply
    310,051.13x = 438,847.88 × 438,847.88
  4. Step 4: Simplify right side
    310,051.13x = 192,587,457,392.02
  5. Step 5: Solve for x
    x = 192,587,457,392.02/310,051.13
  6. Step 6: Final answer
    x = 621,147.42

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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.