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Finding the Third Proportional to 161,470 and 353,720

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Solution

The third proportional to 161,470 and 353,720 is: 774,867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,470 : 353,720 = 353,720 : x
  2. Step 2: Convert to fraction form
    161,470/353,720 = 353,720/x
  3. Step 3: Cross multiply
    161,470x = 353,720 × 353,720
  4. Step 4: Simplify right side
    161,470x = 125,117,838,400
  5. Step 5: Solve for x
    x = 125,117,838,400/161,470
  6. Step 6: Final answer
    x = 774,867.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.