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Finding the Third Proportional to 156,564 and 348,986

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Solution

The third proportional to 156,564 and 348,986 is: 777,900.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,564 : 348,986 = 348,986 : x
  2. Step 2: Convert to fraction form
    156,564/348,986 = 348,986/x
  3. Step 3: Cross multiply
    156,564x = 348,986 × 348,986
  4. Step 4: Simplify right side
    156,564x = 121,791,228,196
  5. Step 5: Solve for x
    x = 121,791,228,196/156,564
  6. Step 6: Final answer
    x = 777,900.59

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.