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Finding the Third Proportional to 454,618,738.50 and 664,921,995.75

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Solution

The third proportional to 454,618,738.50 and 664,921,995.75 is: 972,509,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,618,738.50 : 664,921,995.75 = 664,921,995.75 : x
  2. Step 2: Convert to fraction form
    454,618,738.50/664,921,995.75 = 664,921,995.75/x
  3. Step 3: Cross multiply
    454,618,738.50x = 664,921,995.75 × 664,921,995.75
  4. Step 4: Simplify right side
    454,618,738.50x = 442,121,260,432,163,008
  5. Step 5: Solve for x
    x = 442,121,260,432,163,008/454,618,738.50
  6. Step 6: Final answer
    x = 972,509,980.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.