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Finding the Third Proportional to 572,422.50 and 890,143.88

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Solution

The third proportional to 572,422.50 and 890,143.88 is: 1,384,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,422.50 : 890,143.88 = 890,143.88 : x
  2. Step 2: Convert to fraction form
    572,422.50/890,143.88 = 890,143.88/x
  3. Step 3: Cross multiply
    572,422.50x = 890,143.88 × 890,143.88
  4. Step 4: Simplify right side
    572,422.50x = 792,356,118,200.02
  5. Step 5: Solve for x
    x = 792,356,118,200.02/572,422.50
  6. Step 6: Final answer
    x = 1,384,215.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.