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Finding the Third Proportional to 821,443.78 and 1,225,330.03

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Solution

The third proportional to 821,443.78 and 1,225,330.03 is: 1,827,798.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,443.78 : 1,225,330.03 = 1,225,330.03 : x
  2. Step 2: Convert to fraction form
    821,443.78/1,225,330.03 = 1,225,330.03/x
  3. Step 3: Cross multiply
    821,443.78x = 1,225,330.03 × 1,225,330.03
  4. Step 4: Simplify right side
    821,443.78x = 1,501,433,685,483.13
  5. Step 5: Solve for x
    x = 1,501,433,685,483.13/821,443.78
  6. Step 6: Final answer
    x = 1,827,798.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.