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Finding the Third Proportional to 515,742 and 788,436

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Solution

The third proportional to 515,742 and 788,436 is: 1,205,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,742 : 788,436 = 788,436 : x
  2. Step 2: Convert to fraction form
    515,742/788,436 = 788,436/x
  3. Step 3: Cross multiply
    515,742x = 788,436 × 788,436
  4. Step 4: Simplify right side
    515,742x = 621,631,326,096
  5. Step 5: Solve for x
    x = 621,631,326,096/515,742
  6. Step 6: Final answer
    x = 1,205,314.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.