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Finding the Third Proportional to 405,916.31 and 880,985.11

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Solution

The third proportional to 405,916.31 and 880,985.11 is: 1,912,056.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,916.31 : 880,985.11 = 880,985.11 : x
  2. Step 2: Convert to fraction form
    405,916.31/880,985.11 = 880,985.11/x
  3. Step 3: Cross multiply
    405,916.31x = 880,985.11 × 880,985.11
  4. Step 4: Simplify right side
    405,916.31x = 776,134,762,940.48
  5. Step 5: Solve for x
    x = 776,134,762,940.48/405,916.31
  6. Step 6: Final answer
    x = 1,912,056.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.