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Finding the Third Proportional to 340,726 and 716,742

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Solution

The third proportional to 340,726 and 716,742 is: 1,507,719.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,726 : 716,742 = 716,742 : x
  2. Step 2: Convert to fraction form
    340,726/716,742 = 716,742/x
  3. Step 3: Cross multiply
    340,726x = 716,742 × 716,742
  4. Step 4: Simplify right side
    340,726x = 513,719,094,564
  5. Step 5: Solve for x
    x = 513,719,094,564/340,726
  6. Step 6: Final answer
    x = 1,507,719.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.