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Finding the Third Proportional to 280,406.81 and 616,885.88

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Solution

The third proportional to 280,406.81 and 616,885.88 is: 1,357,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,406.81 : 616,885.88 = 616,885.88 : x
  2. Step 2: Convert to fraction form
    280,406.81/616,885.88 = 616,885.88/x
  3. Step 3: Cross multiply
    280,406.81x = 616,885.88 × 616,885.88
  4. Step 4: Simplify right side
    280,406.81x = 380,548,182,774.52
  5. Step 5: Solve for x
    x = 380,548,182,774.52/280,406.81
  6. Step 6: Final answer
    x = 1,357,128.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.