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Finding the Third Proportional to 386,979 and 910,539

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Solution

The third proportional to 386,979 and 910,539 is: 2,142,445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,979 : 910,539 = 910,539 : x
  2. Step 2: Convert to fraction form
    386,979/910,539 = 910,539/x
  3. Step 3: Cross multiply
    386,979x = 910,539 × 910,539
  4. Step 4: Simplify right side
    386,979x = 829,081,270,521
  5. Step 5: Solve for x
    x = 829,081,270,521/386,979
  6. Step 6: Final answer
    x = 2,142,445.12

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.