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Finding the Third Proportional to 623,880 and 931,656

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Solution

The third proportional to 623,880 and 931,656 is: 1,391,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,880 : 931,656 = 931,656 : x
  2. Step 2: Convert to fraction form
    623,880/931,656 = 931,656/x
  3. Step 3: Cross multiply
    623,880x = 931,656 × 931,656
  4. Step 4: Simplify right side
    623,880x = 867,982,902,336
  5. Step 5: Solve for x
    x = 867,982,902,336/623,880
  6. Step 6: Final answer
    x = 1,391,265.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.