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Finding the Third Proportional to 427,752 and 665,280

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Solution

The third proportional to 427,752 and 665,280 is: 1,034,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,752 : 665,280 = 665,280 : x
  2. Step 2: Convert to fraction form
    427,752/665,280 = 665,280/x
  3. Step 3: Cross multiply
    427,752x = 665,280 × 665,280
  4. Step 4: Simplify right side
    427,752x = 442,597,478,400
  5. Step 5: Solve for x
    x = 442,597,478,400/427,752
  6. Step 6: Final answer
    x = 1,034,705.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.