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Finding the Third Proportional to 657,313.10 and 990,295.24

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Solution

The third proportional to 657,313.10 and 990,295.24 is: 1,491,959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,313.10 : 990,295.24 = 990,295.24 : x
  2. Step 2: Convert to fraction form
    657,313.10/990,295.24 = 990,295.24/x
  3. Step 3: Cross multiply
    657,313.10x = 990,295.24 × 990,295.24
  4. Step 4: Simplify right side
    657,313.10x = 980,684,666,699.20
  5. Step 5: Solve for x
    x = 980,684,666,699.20/657,313.10
  6. Step 6: Final answer
    x = 1,491,959.71

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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.