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Finding the Third Proportional to 525.16 and 693.21

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Solution

The third proportional to 525.16 and 693.21 is: 915.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.16 : 693.21 = 693.21 : x
  2. Step 2: Convert to fraction form
    525.16/693.21 = 693.21/x
  3. Step 3: Cross multiply
    525.16x = 693.21 × 693.21
  4. Step 4: Simplify right side
    525.16x = 480,541.40
  5. Step 5: Solve for x
    x = 480,541.40/525.16
  6. Step 6: Final answer
    x = 915.03

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.