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Finding the Third Proportional to 78,554,949,912 and 172,318,542,768

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Solution

The third proportional to 78,554,949,912 and 172,318,542,768 is: 377,998,843,038.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,554,949,912 : 172,318,542,768 = 172,318,542,768 : x
  2. Step 2: Convert to fraction form
    78,554,949,912/172,318,542,768 = 172,318,542,768/x
  3. Step 3: Cross multiply
    78,554,949,912x = 172,318,542,768 × 172,318,542,768
  4. Step 4: Simplify right side
    78,554,949,912x = 29,693,680,181,687,047,159,808
  5. Step 5: Solve for x
    x = 29,693,680,181,687,047,159,808/78,554,949,912
  6. Step 6: Final answer
    x = 377,998,843,038.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.