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Finding the Third Proportional to 78,639,872 and 172,396,360

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Solution

The third proportional to 78,639,872 and 172,396,360 is: 377,931,756.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,639,872 : 172,396,360 = 172,396,360 : x
  2. Step 2: Convert to fraction form
    78,639,872/172,396,360 = 172,396,360/x
  3. Step 3: Cross multiply
    78,639,872x = 172,396,360 × 172,396,360
  4. Step 4: Simplify right side
    78,639,872x = 29,720,504,941,249,600
  5. Step 5: Solve for x
    x = 29,720,504,941,249,600/78,639,872
  6. Step 6: Final answer
    x = 377,931,756.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.