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Finding the Third Proportional to 633,336 and 933,260

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Solution

The third proportional to 633,336 and 933,260 is: 1,375,216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,336 : 933,260 = 933,260 : x
  2. Step 2: Convert to fraction form
    633,336/933,260 = 933,260/x
  3. Step 3: Cross multiply
    633,336x = 933,260 × 933,260
  4. Step 4: Simplify right side
    633,336x = 870,974,227,600
  5. Step 5: Solve for x
    x = 870,974,227,600/633,336
  6. Step 6: Final answer
    x = 1,375,216.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.