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Finding the Third Proportional to 351,345,330 and 763,173,480

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Solution

The third proportional to 351,345,330 and 763,173,480 is: 1,657,724,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,345,330 : 763,173,480 = 763,173,480 : x
  2. Step 2: Convert to fraction form
    351,345,330/763,173,480 = 763,173,480/x
  3. Step 3: Cross multiply
    351,345,330x = 763,173,480 × 763,173,480
  4. Step 4: Simplify right side
    351,345,330x = 582,433,760,575,310,336
  5. Step 5: Solve for x
    x = 582,433,760,575,310,336/351,345,330
  6. Step 6: Final answer
    x = 1,657,724,497.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.