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Finding the Third Proportional to 708,399 and 1,528,742

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Solution

The third proportional to 708,399 and 1,528,742 is: 3,299,061.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,399 : 1,528,742 = 1,528,742 : x
  2. Step 2: Convert to fraction form
    708,399/1,528,742 = 1,528,742/x
  3. Step 3: Cross multiply
    708,399x = 1,528,742 × 1,528,742
  4. Step 4: Simplify right side
    708,399x = 2,337,052,102,564
  5. Step 5: Solve for x
    x = 2,337,052,102,564/708,399
  6. Step 6: Final answer
    x = 3,299,061.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.