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Finding the Third Proportional to 386,980 and 586,308

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Solution

The third proportional to 386,980 and 586,308 is: 888,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,980 : 586,308 = 586,308 : x
  2. Step 2: Convert to fraction form
    386,980/586,308 = 586,308/x
  3. Step 3: Cross multiply
    386,980x = 586,308 × 586,308
  4. Step 4: Simplify right side
    386,980x = 343,757,070,864
  5. Step 5: Solve for x
    x = 343,757,070,864/386,980
  6. Step 6: Final answer
    x = 888,307.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.