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Finding the Third Proportional to 156,970 and 348,810

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Solution

The third proportional to 156,970 and 348,810 is: 775,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,970 : 348,810 = 348,810 : x
  2. Step 2: Convert to fraction form
    156,970/348,810 = 348,810/x
  3. Step 3: Cross multiply
    156,970x = 348,810 × 348,810
  4. Step 4: Simplify right side
    156,970x = 121,668,416,100
  5. Step 5: Solve for x
    x = 121,668,416,100/156,970
  6. Step 6: Final answer
    x = 775,106.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.