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Finding the Third Proportional to 721,884 and 1,572,072

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Solution

The third proportional to 721,884 and 1,572,072 is: 3,423,556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,884 : 1,572,072 = 1,572,072 : x
  2. Step 2: Convert to fraction form
    721,884/1,572,072 = 1,572,072/x
  3. Step 3: Cross multiply
    721,884x = 1,572,072 × 1,572,072
  4. Step 4: Simplify right side
    721,884x = 2,471,410,373,184
  5. Step 5: Solve for x
    x = 2,471,410,373,184/721,884
  6. Step 6: Final answer
    x = 3,423,556.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.