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Finding the Third Proportional to 157,298 and 342,240

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Solution

The third proportional to 157,298 and 342,240 is: 744,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,298 : 342,240 = 342,240 : x
  2. Step 2: Convert to fraction form
    157,298/342,240 = 342,240/x
  3. Step 3: Cross multiply
    157,298x = 342,240 × 342,240
  4. Step 4: Simplify right side
    157,298x = 117,128,217,600
  5. Step 5: Solve for x
    x = 117,128,217,600/157,298
  6. Step 6: Final answer
    x = 744,626.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.