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Finding the Third Proportional to 499,583 and 677,202

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Solution

The third proportional to 499,583 and 677,202 is: 917,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,583 : 677,202 = 677,202 : x
  2. Step 2: Convert to fraction form
    499,583/677,202 = 677,202/x
  3. Step 3: Cross multiply
    499,583x = 677,202 × 677,202
  4. Step 4: Simplify right side
    499,583x = 458,602,548,804
  5. Step 5: Solve for x
    x = 458,602,548,804/499,583
  6. Step 6: Final answer
    x = 917,970.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.