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Finding the Third Proportional to 129,058 and 303,640

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Solution

The third proportional to 129,058 and 303,640 is: 714,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,058 : 303,640 = 303,640 : x
  2. Step 2: Convert to fraction form
    129,058/303,640 = 303,640/x
  3. Step 3: Cross multiply
    129,058x = 303,640 × 303,640
  4. Step 4: Simplify right side
    129,058x = 92,197,249,600
  5. Step 5: Solve for x
    x = 92,197,249,600/129,058
  6. Step 6: Final answer
    x = 714,386.16

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.