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Finding the Third Proportional to 340,634 and 716,557

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Solution

The third proportional to 340,634 and 716,557 is: 1,507,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,634 : 716,557 = 716,557 : x
  2. Step 2: Convert to fraction form
    340,634/716,557 = 716,557/x
  3. Step 3: Cross multiply
    340,634x = 716,557 × 716,557
  4. Step 4: Simplify right side
    340,634x = 513,453,934,249
  5. Step 5: Solve for x
    x = 513,453,934,249/340,634
  6. Step 6: Final answer
    x = 1,507,347.87

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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.