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Finding the Third Proportional to 645,119 and 902,289

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Solution

The third proportional to 645,119 and 902,289 is: 1,261,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,119 : 902,289 = 902,289 : x
  2. Step 2: Convert to fraction form
    645,119/902,289 = 902,289/x
  3. Step 3: Cross multiply
    645,119x = 902,289 × 902,289
  4. Step 4: Simplify right side
    645,119x = 814,125,439,521
  5. Step 5: Solve for x
    x = 814,125,439,521/645,119
  6. Step 6: Final answer
    x = 1,261,977.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.