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Finding the Third Proportional to 379,464 and 805,656

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Solution

The third proportional to 379,464 and 805,656 is: 1,710,522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,464 : 805,656 = 805,656 : x
  2. Step 2: Convert to fraction form
    379,464/805,656 = 805,656/x
  3. Step 3: Cross multiply
    379,464x = 805,656 × 805,656
  4. Step 4: Simplify right side
    379,464x = 649,081,590,336
  5. Step 5: Solve for x
    x = 649,081,590,336/379,464
  6. Step 6: Final answer
    x = 1,710,522.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.