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Finding the Third Proportional to 273,688 and 409,440

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Solution

The third proportional to 273,688 and 409,440 is: 612,526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,688 : 409,440 = 409,440 : x
  2. Step 2: Convert to fraction form
    273,688/409,440 = 409,440/x
  3. Step 3: Cross multiply
    273,688x = 409,440 × 409,440
  4. Step 4: Simplify right side
    273,688x = 167,641,113,600
  5. Step 5: Solve for x
    x = 167,641,113,600/273,688
  6. Step 6: Final answer
    x = 612,526.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.