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Finding the Third Proportional to 532,848 and 750,450

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Solution

The third proportional to 532,848 and 750,450 is: 1,056,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,848 : 750,450 = 750,450 : x
  2. Step 2: Convert to fraction form
    532,848/750,450 = 750,450/x
  3. Step 3: Cross multiply
    532,848x = 750,450 × 750,450
  4. Step 4: Simplify right side
    532,848x = 563,175,202,500
  5. Step 5: Solve for x
    x = 563,175,202,500/532,848
  6. Step 6: Final answer
    x = 1,056,915.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.