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Finding the Third Proportional to 238,557.38 and 514,478.81

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Solution

The third proportional to 238,557.38 and 514,478.81 is: 1,109,537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,557.38 : 514,478.81 = 514,478.81 : x
  2. Step 2: Convert to fraction form
    238,557.38/514,478.81 = 514,478.81/x
  3. Step 3: Cross multiply
    238,557.38x = 514,478.81 × 514,478.81
  4. Step 4: Simplify right side
    238,557.38x = 264,688,448,511.41
  5. Step 5: Solve for x
    x = 264,688,448,511.41/238,557.38
  6. Step 6: Final answer
    x = 1,109,537.90

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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.