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Finding the Third Proportional to 368,495 and 781,276

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Solution

The third proportional to 368,495 and 781,276 is: 1,656,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,495 : 781,276 = 781,276 : x
  2. Step 2: Convert to fraction form
    368,495/781,276 = 781,276/x
  3. Step 3: Cross multiply
    368,495x = 781,276 × 781,276
  4. Step 4: Simplify right side
    368,495x = 610,392,188,176
  5. Step 5: Solve for x
    x = 610,392,188,176/368,495
  6. Step 6: Final answer
    x = 1,656,446.32

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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.