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Finding the Third Proportional to 647,443.13 and 1,005,313.78

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Solution

The third proportional to 647,443.13 and 1,005,313.78 is: 1,560,995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,443.13 : 1,005,313.78 = 1,005,313.78 : x
  2. Step 2: Convert to fraction form
    647,443.13/1,005,313.78 = 1,005,313.78/x
  3. Step 3: Cross multiply
    647,443.13x = 1,005,313.78 × 1,005,313.78
  4. Step 4: Simplify right side
    647,443.13x = 1,010,655,798,771.17
  5. Step 5: Solve for x
    x = 1,010,655,798,771.17/647,443.13
  6. Step 6: Final answer
    x = 1,560,995.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.