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Finding the Third Proportional to 530.09 and 577.34

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Solution

The third proportional to 530.09 and 577.34 is: 628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.09 : 577.34 = 577.34 : x
  2. Step 2: Convert to fraction form
    530.09/577.34 = 577.34/x
  3. Step 3: Cross multiply
    530.09x = 577.34 × 577.34
  4. Step 4: Simplify right side
    530.09x = 333,316.78
  5. Step 5: Solve for x
    x = 333,316.78/530.09
  6. Step 6: Final answer
    x = 628.80

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.