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Finding the Third Proportional to 475,480,929.25 and 1,035,373,767.75

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Solution

The third proportional to 475,480,929.25 and 1,035,373,767.75 is: 2,254,556,961.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,480,929.25 : 1,035,373,767.75 = 1,035,373,767.75 : x
  2. Step 2: Convert to fraction form
    475,480,929.25/1,035,373,767.75 = 1,035,373,767.75/x
  3. Step 3: Cross multiply
    475,480,929.25x = 1,035,373,767.75 × 1,035,373,767.75
  4. Step 4: Simplify right side
    475,480,929.25x = 1,071,998,838,944,830,976
  5. Step 5: Solve for x
    x = 1,071,998,838,944,830,976/475,480,929.25
  6. Step 6: Final answer
    x = 2,254,556,961.17

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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.