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Finding the Third Proportional to 130,038 and 278,508

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Solution

The third proportional to 130,038 and 278,508 is: 596,492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,038 : 278,508 = 278,508 : x
  2. Step 2: Convert to fraction form
    130,038/278,508 = 278,508/x
  3. Step 3: Cross multiply
    130,038x = 278,508 × 278,508
  4. Step 4: Simplify right side
    130,038x = 77,566,706,064
  5. Step 5: Solve for x
    x = 77,566,706,064/130,038
  6. Step 6: Final answer
    x = 596,492.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.