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Finding the Third Proportional to 761,868 and 1,638,396

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Solution

The third proportional to 761,868 and 1,638,396 is: 3,523,368.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,868 : 1,638,396 = 1,638,396 : x
  2. Step 2: Convert to fraction form
    761,868/1,638,396 = 1,638,396/x
  3. Step 3: Cross multiply
    761,868x = 1,638,396 × 1,638,396
  4. Step 4: Simplify right side
    761,868x = 2,684,341,452,816
  5. Step 5: Solve for x
    x = 2,684,341,452,816/761,868
  6. Step 6: Final answer
    x = 3,523,368.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.