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Finding the Third Proportional to 671,420 and 1,308,576

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Solution

The third proportional to 671,420 and 1,308,576 is: 2,550,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,420 : 1,308,576 = 1,308,576 : x
  2. Step 2: Convert to fraction form
    671,420/1,308,576 = 1,308,576/x
  3. Step 3: Cross multiply
    671,420x = 1,308,576 × 1,308,576
  4. Step 4: Simplify right side
    671,420x = 1,712,371,147,776
  5. Step 5: Solve for x
    x = 1,712,371,147,776/671,420
  6. Step 6: Final answer
    x = 2,550,372.57

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.