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Finding the Third Proportional to 358,780 and 761,288

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Solution

The third proportional to 358,780 and 761,288 is: 1,615,361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,780 : 761,288 = 761,288 : x
  2. Step 2: Convert to fraction form
    358,780/761,288 = 761,288/x
  3. Step 3: Cross multiply
    358,780x = 761,288 × 761,288
  4. Step 4: Simplify right side
    358,780x = 579,559,418,944
  5. Step 5: Solve for x
    x = 579,559,418,944/358,780
  6. Step 6: Final answer
    x = 1,615,361.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.