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Finding the Third Proportional to 757,709 and 1,620,487

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Solution

The third proportional to 757,709 and 1,620,487 is: 3,465,681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,709 : 1,620,487 = 1,620,487 : x
  2. Step 2: Convert to fraction form
    757,709/1,620,487 = 1,620,487/x
  3. Step 3: Cross multiply
    757,709x = 1,620,487 × 1,620,487
  4. Step 4: Simplify right side
    757,709x = 2,625,978,117,169
  5. Step 5: Solve for x
    x = 2,625,978,117,169/757,709
  6. Step 6: Final answer
    x = 3,465,681.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.