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Finding the Third Proportional to 58,640 and 128,210

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Solution

The third proportional to 58,640 and 128,210 is: 280,317.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,640 : 128,210 = 128,210 : x
  2. Step 2: Convert to fraction form
    58,640/128,210 = 128,210/x
  3. Step 3: Cross multiply
    58,640x = 128,210 × 128,210
  4. Step 4: Simplify right side
    58,640x = 16,437,804,100
  5. Step 5: Solve for x
    x = 16,437,804,100/58,640
  6. Step 6: Final answer
    x = 280,317.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.