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Finding the Third Proportional to 78,076,918.50 and 169,594,437

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Solution

The third proportional to 78,076,918.50 and 169,594,437 is: 368,383,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,076,918.50 : 169,594,437 = 169,594,437 : x
  2. Step 2: Convert to fraction form
    78,076,918.50/169,594,437 = 169,594,437/x
  3. Step 3: Cross multiply
    78,076,918.50x = 169,594,437 × 169,594,437
  4. Step 4: Simplify right side
    78,076,918.50x = 28,762,273,061,346,968
  5. Step 5: Solve for x
    x = 28,762,273,061,346,968/78,076,918.50
  6. Step 6: Final answer
    x = 368,383,814.50

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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.