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Finding the Third Proportional to 286,008 and 420,750

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Solution

The third proportional to 286,008 and 420,750 is: 618,970.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,008 : 420,750 = 420,750 : x
  2. Step 2: Convert to fraction form
    286,008/420,750 = 420,750/x
  3. Step 3: Cross multiply
    286,008x = 420,750 × 420,750
  4. Step 4: Simplify right side
    286,008x = 177,030,562,500
  5. Step 5: Solve for x
    x = 177,030,562,500/286,008
  6. Step 6: Final answer
    x = 618,970.67

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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.