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Finding the Third Proportional to 340,695 and 716,700

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Solution

The third proportional to 340,695 and 716,700 is: 1,507,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,695 : 716,700 = 716,700 : x
  2. Step 2: Convert to fraction form
    340,695/716,700 = 716,700/x
  3. Step 3: Cross multiply
    340,695x = 716,700 × 716,700
  4. Step 4: Simplify right side
    340,695x = 513,658,890,000
  5. Step 5: Solve for x
    x = 513,658,890,000/340,695
  6. Step 6: Final answer
    x = 1,507,679.57

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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.