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Finding the Third Proportional to 341,648 and 486,688

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Solution

The third proportional to 341,648 and 486,688 is: 693,301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,648 : 486,688 = 486,688 : x
  2. Step 2: Convert to fraction form
    341,648/486,688 = 486,688/x
  3. Step 3: Cross multiply
    341,648x = 486,688 × 486,688
  4. Step 4: Simplify right side
    341,648x = 236,865,209,344
  5. Step 5: Solve for x
    x = 236,865,209,344/341,648
  6. Step 6: Final answer
    x = 693,301.91

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.