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Finding the Third Proportional to 475,480,657 and 1,035,373,226

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Solution

The third proportional to 475,480,657 and 1,035,373,226 is: 2,254,555,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,480,657 : 1,035,373,226 = 1,035,373,226 : x
  2. Step 2: Convert to fraction form
    475,480,657/1,035,373,226 = 1,035,373,226/x
  3. Step 3: Cross multiply
    475,480,657x = 1,035,373,226 × 1,035,373,226
  4. Step 4: Simplify right side
    475,480,657x = 1,071,997,717,117,647,104
  5. Step 5: Solve for x
    x = 1,071,997,717,117,647,104/475,480,657
  6. Step 6: Final answer
    x = 2,254,555,892.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.