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Finding the Third Proportional to 637,780 and 987,477

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Solution

The third proportional to 637,780 and 987,477 is: 1,528,914.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,780 : 987,477 = 987,477 : x
  2. Step 2: Convert to fraction form
    637,780/987,477 = 987,477/x
  3. Step 3: Cross multiply
    637,780x = 987,477 × 987,477
  4. Step 4: Simplify right side
    637,780x = 975,110,825,529
  5. Step 5: Solve for x
    x = 975,110,825,529/637,780
  6. Step 6: Final answer
    x = 1,528,914.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.