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Finding the Third Proportional to 256,938 and 553,246.50

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Solution

The third proportional to 256,938 and 553,246.50 is: 1,191,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,938 : 553,246.50 = 553,246.50 : x
  2. Step 2: Convert to fraction form
    256,938/553,246.50 = 553,246.50/x
  3. Step 3: Cross multiply
    256,938x = 553,246.50 × 553,246.50
  4. Step 4: Simplify right side
    256,938x = 306,081,689,762.25
  5. Step 5: Solve for x
    x = 306,081,689,762.25/256,938
  6. Step 6: Final answer
    x = 1,191,266.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.