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Finding the Third Proportional to 405,248 and 881,840

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Solution

The third proportional to 405,248 and 881,840 is: 1,918,928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,248 : 881,840 = 881,840 : x
  2. Step 2: Convert to fraction form
    405,248/881,840 = 881,840/x
  3. Step 3: Cross multiply
    405,248x = 881,840 × 881,840
  4. Step 4: Simplify right side
    405,248x = 777,641,785,600
  5. Step 5: Solve for x
    x = 777,641,785,600/405,248
  6. Step 6: Final answer
    x = 1,918,928.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.