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Finding the Third Proportional to 115,480 and 260,830

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Solution

The third proportional to 115,480 and 260,830 is: 589,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,480 : 260,830 = 260,830 : x
  2. Step 2: Convert to fraction form
    115,480/260,830 = 260,830/x
  3. Step 3: Cross multiply
    115,480x = 260,830 × 260,830
  4. Step 4: Simplify right side
    115,480x = 68,032,288,900
  5. Step 5: Solve for x
    x = 68,032,288,900/115,480
  6. Step 6: Final answer
    x = 589,126.16

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.