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Finding the Third Proportional to 58,778 and 130,636

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Solution

The third proportional to 58,778 and 130,636 is: 290,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,778 : 130,636 = 130,636 : x
  2. Step 2: Convert to fraction form
    58,778/130,636 = 130,636/x
  3. Step 3: Cross multiply
    58,778x = 130,636 × 130,636
  4. Step 4: Simplify right side
    58,778x = 17,065,764,496
  5. Step 5: Solve for x
    x = 17,065,764,496/58,778
  6. Step 6: Final answer
    x = 290,342.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.