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Finding the Third Proportional to 423,104 and 881,196

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Solution

The third proportional to 423,104 and 881,196 is: 1,835,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,104 : 881,196 = 881,196 : x
  2. Step 2: Convert to fraction form
    423,104/881,196 = 881,196/x
  3. Step 3: Cross multiply
    423,104x = 881,196 × 881,196
  4. Step 4: Simplify right side
    423,104x = 776,506,390,416
  5. Step 5: Solve for x
    x = 776,506,390,416/423,104
  6. Step 6: Final answer
    x = 1,835,261.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.