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Finding the Third Proportional to 72,828,580.78 and 156,045,157.17

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Solution

The third proportional to 72,828,580.78 and 156,045,157.17 is: 334,348,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,828,580.78 : 156,045,157.17 = 156,045,157.17 : x
  2. Step 2: Convert to fraction form
    72,828,580.78/156,045,157.17 = 156,045,157.17/x
  3. Step 3: Cross multiply
    72,828,580.78x = 156,045,157.17 × 156,045,157.17
  4. Step 4: Simplify right side
    72,828,580.78x = 24,350,091,076,796,736
  5. Step 5: Solve for x
    x = 24,350,091,076,796,736/72,828,580.78
  6. Step 6: Final answer
    x = 334,348,010.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.