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Finding the Third Proportional to 405,254 and 938,169

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Solution

The third proportional to 405,254 and 938,169 is: 2,171,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,254 : 938,169 = 938,169 : x
  2. Step 2: Convert to fraction form
    405,254/938,169 = 938,169/x
  3. Step 3: Cross multiply
    405,254x = 938,169 × 938,169
  4. Step 4: Simplify right side
    405,254x = 880,161,072,561
  5. Step 5: Solve for x
    x = 880,161,072,561/405,254
  6. Step 6: Final answer
    x = 2,171,875.10

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.