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Finding the Third Proportional to 340,640 and 716,558

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Solution

The third proportional to 340,640 and 716,558 is: 1,507,325.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,640 : 716,558 = 716,558 : x
  2. Step 2: Convert to fraction form
    340,640/716,558 = 716,558/x
  3. Step 3: Cross multiply
    340,640x = 716,558 × 716,558
  4. Step 4: Simplify right side
    340,640x = 513,455,367,364
  5. Step 5: Solve for x
    x = 513,455,367,364/340,640
  6. Step 6: Final answer
    x = 1,507,325.53

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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.