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Finding the Third Proportional to 238,640 and 514,640

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Solution

The third proportional to 238,640 and 514,640 is: 1,109,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,640 : 514,640 = 514,640 : x
  2. Step 2: Convert to fraction form
    238,640/514,640 = 514,640/x
  3. Step 3: Cross multiply
    238,640x = 514,640 × 514,640
  4. Step 4: Simplify right side
    238,640x = 264,854,329,600
  5. Step 5: Solve for x
    x = 264,854,329,600/238,640
  6. Step 6: Final answer
    x = 1,109,848.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.