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Finding the Third Proportional to 577,083.66 and 990,178.17

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Solution

The third proportional to 577,083.66 and 990,178.17 is: 1,698,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,083.66 : 990,178.17 = 990,178.17 : x
  2. Step 2: Convert to fraction form
    577,083.66/990,178.17 = 990,178.17/x
  3. Step 3: Cross multiply
    577,083.66x = 990,178.17 × 990,178.17
  4. Step 4: Simplify right side
    577,083.66x = 980,452,812,057.72
  5. Step 5: Solve for x
    x = 980,452,812,057.72/577,083.66
  6. Step 6: Final answer
    x = 1,698,978.65

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.