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Finding the Third Proportional to 415,379 and 907,639

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Solution

The third proportional to 415,379 and 907,639 is: 1,983,269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,379 : 907,639 = 907,639 : x
  2. Step 2: Convert to fraction form
    415,379/907,639 = 907,639/x
  3. Step 3: Cross multiply
    415,379x = 907,639 × 907,639
  4. Step 4: Simplify right side
    415,379x = 823,808,554,321
  5. Step 5: Solve for x
    x = 823,808,554,321/415,379
  6. Step 6: Final answer
    x = 1,983,269.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.