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Finding the Third Proportional to 658,827 and 1,438,503

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Solution

The third proportional to 658,827 and 1,438,503 is: 3,140,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,827 : 1,438,503 = 1,438,503 : x
  2. Step 2: Convert to fraction form
    658,827/1,438,503 = 1,438,503/x
  3. Step 3: Cross multiply
    658,827x = 1,438,503 × 1,438,503
  4. Step 4: Simplify right side
    658,827x = 2,069,290,881,009
  5. Step 5: Solve for x
    x = 2,069,290,881,009/658,827
  6. Step 6: Final answer
    x = 3,140,871.40

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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.