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Finding the Third Proportional to 130,520 and 276,484

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Solution

The third proportional to 130,520 and 276,484 is: 585,683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,520 : 276,484 = 276,484 : x
  2. Step 2: Convert to fraction form
    130,520/276,484 = 276,484/x
  3. Step 3: Cross multiply
    130,520x = 276,484 × 276,484
  4. Step 4: Simplify right side
    130,520x = 76,443,402,256
  5. Step 5: Solve for x
    x = 76,443,402,256/130,520
  6. Step 6: Final answer
    x = 585,683.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.