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Finding the Third Proportional to 78,076,720.13 and 169,594,058.81

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Solution

The third proportional to 78,076,720.13 and 169,594,058.81 is: 368,383,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,076,720.13 : 169,594,058.81 = 169,594,058.81 : x
  2. Step 2: Convert to fraction form
    78,076,720.13/169,594,058.81 = 169,594,058.81/x
  3. Step 3: Cross multiply
    78,076,720.13x = 169,594,058.81 × 169,594,058.81
  4. Step 4: Simplify right side
    78,076,720.13x = 28,762,144,784,497,708
  5. Step 5: Solve for x
    x = 28,762,144,784,497,708/78,076,720.13
  6. Step 6: Final answer
    x = 368,383,107.52

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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.