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Finding the Third Proportional to 78,076,739 and 169,594,105

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Solution

The third proportional to 78,076,739 and 169,594,105 is: 368,383,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,076,739 : 169,594,105 = 169,594,105 : x
  2. Step 2: Convert to fraction form
    78,076,739/169,594,105 = 169,594,105/x
  3. Step 3: Cross multiply
    78,076,739x = 169,594,105 × 169,594,105
  4. Step 4: Simplify right side
    78,076,739x = 28,762,160,450,751,024
  5. Step 5: Solve for x
    x = 28,762,160,450,751,024/78,076,739
  6. Step 6: Final answer
    x = 368,383,219.11

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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.