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Finding the Third Proportional to 57,658 and 77,658

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Solution

The third proportional to 57,658 and 77,658 is: 104,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,658 : 77,658 = 77,658 : x
  2. Step 2: Convert to fraction form
    57,658/77,658 = 77,658/x
  3. Step 3: Cross multiply
    57,658x = 77,658 × 77,658
  4. Step 4: Simplify right side
    57,658x = 6,030,764,964
  5. Step 5: Solve for x
    x = 6,030,764,964/57,658
  6. Step 6: Final answer
    x = 104,595.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.