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Finding the Third Proportional to 355,491 and 761,013

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Solution

The third proportional to 355,491 and 761,013 is: 1,629,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,491 : 761,013 = 761,013 : x
  2. Step 2: Convert to fraction form
    355,491/761,013 = 761,013/x
  3. Step 3: Cross multiply
    355,491x = 761,013 × 761,013
  4. Step 4: Simplify right side
    355,491x = 579,140,786,169
  5. Step 5: Solve for x
    x = 579,140,786,169/355,491
  6. Step 6: Final answer
    x = 1,629,129.25

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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.