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Finding the Third Proportional to 340,803 and 716,861

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Solution

The third proportional to 340,803 and 716,861 is: 1,507,879.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,803 : 716,861 = 716,861 : x
  2. Step 2: Convert to fraction form
    340,803/716,861 = 716,861/x
  3. Step 3: Cross multiply
    340,803x = 716,861 × 716,861
  4. Step 4: Simplify right side
    340,803x = 513,889,693,321
  5. Step 5: Solve for x
    x = 513,889,693,321/340,803
  6. Step 6: Final answer
    x = 1,507,879.02

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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.