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Finding the Third Proportional to 762,429 and 1,603,485

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Solution

The third proportional to 762,429 and 1,603,485 is: 3,372,332.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,429 : 1,603,485 = 1,603,485 : x
  2. Step 2: Convert to fraction form
    762,429/1,603,485 = 1,603,485/x
  3. Step 3: Cross multiply
    762,429x = 1,603,485 × 1,603,485
  4. Step 4: Simplify right side
    762,429x = 2,571,164,145,225
  5. Step 5: Solve for x
    x = 2,571,164,145,225/762,429
  6. Step 6: Final answer
    x = 3,372,332.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.