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Finding the Third Proportional to 498,955.78 and 781,813.69

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Solution

The third proportional to 498,955.78 and 781,813.69 is: 1,225,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,955.78 : 781,813.69 = 781,813.69 : x
  2. Step 2: Convert to fraction form
    498,955.78/781,813.69 = 781,813.69/x
  3. Step 3: Cross multiply
    498,955.78x = 781,813.69 × 781,813.69
  4. Step 4: Simplify right side
    498,955.78x = 611,232,641,962.35
  5. Step 5: Solve for x
    x = 611,232,641,962.35/498,955.78
  6. Step 6: Final answer
    x = 1,225,023.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.