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Finding the Third Proportional to 657.06 and 777.06

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Solution

The third proportional to 657.06 and 777.06 is: 918.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.06 : 777.06 = 777.06 : x
  2. Step 2: Convert to fraction form
    657.06/777.06 = 777.06/x
  3. Step 3: Cross multiply
    657.06x = 777.06 × 777.06
  4. Step 4: Simplify right side
    657.06x = 603,826.13
  5. Step 5: Solve for x
    x = 603,826.13/657.06
  6. Step 6: Final answer
    x = 918.98

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.