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Finding the Third Proportional to 130,670 and 286,248

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Solution

The third proportional to 130,670 and 286,248 is: 627,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,670 : 286,248 = 286,248 : x
  2. Step 2: Convert to fraction form
    130,670/286,248 = 286,248/x
  3. Step 3: Cross multiply
    130,670x = 286,248 × 286,248
  4. Step 4: Simplify right side
    130,670x = 81,937,917,504
  5. Step 5: Solve for x
    x = 81,937,917,504/130,670
  6. Step 6: Final answer
    x = 627,059.90

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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.