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Finding the Third Proportional to 78,076,754 and 169,594,140

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Solution

The third proportional to 78,076,754 and 169,594,140 is: 368,383,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,076,754 : 169,594,140 = 169,594,140 : x
  2. Step 2: Convert to fraction form
    78,076,754/169,594,140 = 169,594,140/x
  3. Step 3: Cross multiply
    78,076,754x = 169,594,140 × 169,594,140
  4. Step 4: Simplify right side
    78,076,754x = 28,762,172,322,339,600
  5. Step 5: Solve for x
    x = 28,762,172,322,339,600/78,076,754
  6. Step 6: Final answer
    x = 368,383,300.39

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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.