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Finding the Third Proportional to 346,728 and 518,688

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Solution

The third proportional to 346,728 and 518,688 is: 775,931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,728 : 518,688 = 518,688 : x
  2. Step 2: Convert to fraction form
    346,728/518,688 = 518,688/x
  3. Step 3: Cross multiply
    346,728x = 518,688 × 518,688
  4. Step 4: Simplify right side
    346,728x = 269,037,241,344
  5. Step 5: Solve for x
    x = 269,037,241,344/346,728
  6. Step 6: Final answer
    x = 775,931.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.