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Finding the Third Proportional to 647,349.75 and 980,020.69

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Solution

The third proportional to 647,349.75 and 980,020.69 is: 1,483,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,349.75 : 980,020.69 = 980,020.69 : x
  2. Step 2: Convert to fraction form
    647,349.75/980,020.69 = 980,020.69/x
  3. Step 3: Cross multiply
    647,349.75x = 980,020.69 × 980,020.69
  4. Step 4: Simplify right side
    647,349.75x = 960,440,547,927.97
  5. Step 5: Solve for x
    x = 960,440,547,927.97/647,349.75
  6. Step 6: Final answer
    x = 1,483,650.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.