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Finding the Third Proportional to 130,709 and 286,339

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Solution

The third proportional to 130,709 and 286,339 is: 627,271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,709 : 286,339 = 286,339 : x
  2. Step 2: Convert to fraction form
    130,709/286,339 = 286,339/x
  3. Step 3: Cross multiply
    130,709x = 286,339 × 286,339
  4. Step 4: Simplify right side
    130,709x = 81,990,022,921
  5. Step 5: Solve for x
    x = 81,990,022,921/130,709
  6. Step 6: Final answer
    x = 627,271.44

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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.