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Finding the Third Proportional to 145,444,640 and 313,964,318

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Solution

The third proportional to 145,444,640 and 313,964,318 is: 677,739,605.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,444,640 : 313,964,318 = 313,964,318 : x
  2. Step 2: Convert to fraction form
    145,444,640/313,964,318 = 313,964,318/x
  3. Step 3: Cross multiply
    145,444,640x = 313,964,318 × 313,964,318
  4. Step 4: Simplify right side
    145,444,640x = 98,573,592,977,205,120
  5. Step 5: Solve for x
    x = 98,573,592,977,205,120/145,444,640
  6. Step 6: Final answer
    x = 677,739,605.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.