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Finding the Third Proportional to 360,423 and 540,634.50

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Solution

The third proportional to 360,423 and 540,634.50 is: 810,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,423 : 540,634.50 = 540,634.50 : x
  2. Step 2: Convert to fraction form
    360,423/540,634.50 = 540,634.50/x
  3. Step 3: Cross multiply
    360,423x = 540,634.50 × 540,634.50
  4. Step 4: Simplify right side
    360,423x = 292,285,662,590.25
  5. Step 5: Solve for x
    x = 292,285,662,590.25/360,423
  6. Step 6: Final answer
    x = 810,951.75

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Similar ratio
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1.5x scale

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.