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Finding the Third Proportional to 530.93 and 778.99

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Solution

The third proportional to 530.93 and 778.99 is: 1,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.93 : 778.99 = 778.99 : x
  2. Step 2: Convert to fraction form
    530.93/778.99 = 778.99/x
  3. Step 3: Cross multiply
    530.93x = 778.99 × 778.99
  4. Step 4: Simplify right side
    530.93x = 606,828.83
  5. Step 5: Solve for x
    x = 606,828.83/530.93
  6. Step 6: Final answer
    x = 1,142.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.