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Finding the Third Proportional to 610.98 and 957.76

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Solution

The third proportional to 610.98 and 957.76 is: 1,501.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.98 : 957.76 = 957.76 : x
  2. Step 2: Convert to fraction form
    610.98/957.76 = 957.76/x
  3. Step 3: Cross multiply
    610.98x = 957.76 × 957.76
  4. Step 4: Simplify right side
    610.98x = 917,307.51
  5. Step 5: Solve for x
    x = 917,307.51/610.98
  6. Step 6: Final answer
    x = 1,501.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.