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Finding the Third Proportional to 130,826 and 286,564

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Solution

The third proportional to 130,826 and 286,564 is: 627,695.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,826 : 286,564 = 286,564 : x
  2. Step 2: Convert to fraction form
    130,826/286,564 = 286,564/x
  3. Step 3: Cross multiply
    130,826x = 286,564 × 286,564
  4. Step 4: Simplify right side
    130,826x = 82,118,926,096
  5. Step 5: Solve for x
    x = 82,118,926,096/130,826
  6. Step 6: Final answer
    x = 627,695.76

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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.