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Finding the Third Proportional to 130,324 and 285,558

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Solution

The third proportional to 130,324 and 285,558 is: 625,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,324 : 285,558 = 285,558 : x
  2. Step 2: Convert to fraction form
    130,324/285,558 = 285,558/x
  3. Step 3: Cross multiply
    130,324x = 285,558 × 285,558
  4. Step 4: Simplify right side
    130,324x = 81,543,371,364
  5. Step 5: Solve for x
    x = 81,543,371,364/130,324
  6. Step 6: Final answer
    x = 625,697.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.