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Finding the Third Proportional to 128,516 and 278,486

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Solution

The third proportional to 128,516 and 278,486 is: 603,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,516 : 278,486 = 278,486 : x
  2. Step 2: Convert to fraction form
    128,516/278,486 = 278,486/x
  3. Step 3: Cross multiply
    128,516x = 278,486 × 278,486
  4. Step 4: Simplify right side
    128,516x = 77,554,452,196
  5. Step 5: Solve for x
    x = 77,554,452,196/128,516
  6. Step 6: Final answer
    x = 603,461.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.