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Finding the Third Proportional to 720,739 and 1,013,809

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Solution

The third proportional to 720,739 and 1,013,809 is: 1,426,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,739 : 1,013,809 = 1,013,809 : x
  2. Step 2: Convert to fraction form
    720,739/1,013,809 = 1,013,809/x
  3. Step 3: Cross multiply
    720,739x = 1,013,809 × 1,013,809
  4. Step 4: Simplify right side
    720,739x = 1,027,808,688,481
  5. Step 5: Solve for x
    x = 1,027,808,688,481/720,739
  6. Step 6: Final answer
    x = 1,426,048.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.