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Finding the Third Proportional to 530.86 and 606.80

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Solution

The third proportional to 530.86 and 606.80 is: 693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.86 : 606.80 = 606.80 : x
  2. Step 2: Convert to fraction form
    530.86/606.80 = 606.80/x
  3. Step 3: Cross multiply
    530.86x = 606.80 × 606.80
  4. Step 4: Simplify right side
    530.86x = 368,202.45
  5. Step 5: Solve for x
    x = 368,202.45/530.86
  6. Step 6: Final answer
    x = 693.60

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.