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Finding the Third Proportional to 78,076,917 and 169,594,501.50

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Solution

The third proportional to 78,076,917 and 169,594,501.50 is: 368,384,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,076,917 : 169,594,501.50 = 169,594,501.50 : x
  2. Step 2: Convert to fraction form
    78,076,917/169,594,501.50 = 169,594,501.50/x
  3. Step 3: Cross multiply
    78,076,917x = 169,594,501.50 × 169,594,501.50
  4. Step 4: Simplify right side
    78,076,917x = 28,762,294,939,033,504
  5. Step 5: Solve for x
    x = 28,762,294,939,033,504/78,076,917
  6. Step 6: Final answer
    x = 368,384,101.78

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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.