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Finding the Third Proportional to 291,710 and 603,640

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Solution

The third proportional to 291,710 and 603,640 is: 1,249,121.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,710 : 603,640 = 603,640 : x
  2. Step 2: Convert to fraction form
    291,710/603,640 = 603,640/x
  3. Step 3: Cross multiply
    291,710x = 603,640 × 603,640
  4. Step 4: Simplify right side
    291,710x = 364,381,249,600
  5. Step 5: Solve for x
    x = 364,381,249,600/291,710
  6. Step 6: Final answer
    x = 1,249,121.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.