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Finding the Third Proportional to 159,080 and 343,070

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Solution

The third proportional to 159,080 and 343,070 is: 739,860.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,080 : 343,070 = 343,070 : x
  2. Step 2: Convert to fraction form
    159,080/343,070 = 343,070/x
  3. Step 3: Cross multiply
    159,080x = 343,070 × 343,070
  4. Step 4: Simplify right side
    159,080x = 117,697,024,900
  5. Step 5: Solve for x
    x = 117,697,024,900/159,080
  6. Step 6: Final answer
    x = 739,860.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.