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Finding the Third Proportional to 428,411 and 930,570

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Solution

The third proportional to 428,411 and 930,570 is: 2,021,331.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,411 : 930,570 = 930,570 : x
  2. Step 2: Convert to fraction form
    428,411/930,570 = 930,570/x
  3. Step 3: Cross multiply
    428,411x = 930,570 × 930,570
  4. Step 4: Simplify right side
    428,411x = 865,960,524,900
  5. Step 5: Solve for x
    x = 865,960,524,900/428,411
  6. Step 6: Final answer
    x = 2,021,331.21

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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.