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Finding the Third Proportional to 427,980 and 662,352

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Solution

The third proportional to 427,980 and 662,352 is: 1,025,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,980 : 662,352 = 662,352 : x
  2. Step 2: Convert to fraction form
    427,980/662,352 = 662,352/x
  3. Step 3: Cross multiply
    427,980x = 662,352 × 662,352
  4. Step 4: Simplify right side
    427,980x = 438,710,171,904
  5. Step 5: Solve for x
    x = 438,710,171,904/427,980
  6. Step 6: Final answer
    x = 1,025,071.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.