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Finding the Third Proportional to 415,140.19 and 899,137.13

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Solution

The third proportional to 415,140.19 and 899,137.13 is: 1,947,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,140.19 : 899,137.13 = 899,137.13 : x
  2. Step 2: Convert to fraction form
    415,140.19/899,137.13 = 899,137.13/x
  3. Step 3: Cross multiply
    415,140.19x = 899,137.13 × 899,137.13
  4. Step 4: Simplify right side
    415,140.19x = 808,447,569,553.27
  5. Step 5: Solve for x
    x = 808,447,569,553.27/415,140.19
  6. Step 6: Final answer
    x = 1,947,408.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.