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Finding the Third Proportional to 285,703.88 and 427,156.88

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Solution

The third proportional to 285,703.88 and 427,156.88 is: 638,643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,703.88 : 427,156.88 = 427,156.88 : x
  2. Step 2: Convert to fraction form
    285,703.88/427,156.88 = 427,156.88/x
  3. Step 3: Cross multiply
    285,703.88x = 427,156.88 × 427,156.88
  4. Step 4: Simplify right side
    285,703.88x = 182,462,995,859.77
  5. Step 5: Solve for x
    x = 182,462,995,859.77/285,703.88
  6. Step 6: Final answer
    x = 638,643.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.