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Finding the Third Proportional to 130,509 and 286,230

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Solution

The third proportional to 130,509 and 286,230 is: 627,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,509 : 286,230 = 286,230 : x
  2. Step 2: Convert to fraction form
    130,509/286,230 = 286,230/x
  3. Step 3: Cross multiply
    130,509x = 286,230 × 286,230
  4. Step 4: Simplify right side
    130,509x = 81,927,612,900
  5. Step 5: Solve for x
    x = 81,927,612,900/130,509
  6. Step 6: Final answer
    x = 627,754.51

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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.