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Finding the Third Proportional to 370,859 and 761,378

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Solution

The third proportional to 370,859 and 761,378 is: 1,563,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,859 : 761,378 = 761,378 : x
  2. Step 2: Convert to fraction form
    370,859/761,378 = 761,378/x
  3. Step 3: Cross multiply
    370,859x = 761,378 × 761,378
  4. Step 4: Simplify right side
    370,859x = 579,696,458,884
  5. Step 5: Solve for x
    x = 579,696,458,884/370,859
  6. Step 6: Final answer
    x = 1,563,118.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.