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Finding the Third Proportional to 355,120 and 762,944

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Solution

The third proportional to 355,120 and 762,944 is: 1,639,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,120 : 762,944 = 762,944 : x
  2. Step 2: Convert to fraction form
    355,120/762,944 = 762,944/x
  3. Step 3: Cross multiply
    355,120x = 762,944 × 762,944
  4. Step 4: Simplify right side
    355,120x = 582,083,547,136
  5. Step 5: Solve for x
    x = 582,083,547,136/355,120
  6. Step 6: Final answer
    x = 1,639,117.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.