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Finding the Third Proportional to 439,838,720 and 645,379,224

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Solution

The third proportional to 439,838,720 and 645,379,224 is: 946,970,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,838,720 : 645,379,224 = 645,379,224 : x
  2. Step 2: Convert to fraction form
    439,838,720/645,379,224 = 645,379,224/x
  3. Step 3: Cross multiply
    439,838,720x = 645,379,224 × 645,379,224
  4. Step 4: Simplify right side
    439,838,720x = 416,514,342,770,842,176
  5. Step 5: Solve for x
    x = 416,514,342,770,842,176/439,838,720
  6. Step 6: Final answer
    x = 946,970,614.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.