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Finding the Third Proportional to 130,644 and 286,188

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Solution

The third proportional to 130,644 and 286,188 is: 626,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,644 : 286,188 = 286,188 : x
  2. Step 2: Convert to fraction form
    130,644/286,188 = 286,188/x
  3. Step 3: Cross multiply
    130,644x = 286,188 × 286,188
  4. Step 4: Simplify right side
    130,644x = 81,903,571,344
  5. Step 5: Solve for x
    x = 81,903,571,344/130,644
  6. Step 6: Final answer
    x = 626,921.80

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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.