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Finding the Third Proportional to 1,482,403,320 and 3,194,565,840

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Solution

The third proportional to 1,482,403,320 and 3,194,565,840 is: 6,884,260,692.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482,403,320 : 3,194,565,840 = 3,194,565,840 : x
  2. Step 2: Convert to fraction form
    1,482,403,320/3,194,565,840 = 3,194,565,840/x
  3. Step 3: Cross multiply
    1,482,403,320x = 3,194,565,840 × 3,194,565,840
  4. Step 4: Simplify right side
    1,482,403,320x = 10,205,250,906,094,905,344
  5. Step 5: Solve for x
    x = 10,205,250,906,094,905,344/1,482,403,320
  6. Step 6: Final answer
    x = 6,884,260,692.36

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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.