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Finding the Third Proportional to 300,507.19 and 429,694.88

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Solution

The third proportional to 300,507.19 and 429,694.88 is: 614,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,507.19 : 429,694.88 = 429,694.88 : x
  2. Step 2: Convert to fraction form
    300,507.19/429,694.88 = 429,694.88/x
  3. Step 3: Cross multiply
    300,507.19x = 429,694.88 × 429,694.88
  4. Step 4: Simplify right side
    300,507.19x = 184,637,685,601.27
  5. Step 5: Solve for x
    x = 184,637,685,601.27/300,507.19
  6. Step 6: Final answer
    x = 614,420.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.