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Finding the Third Proportional to 68,569,280 and 146,437,968

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Solution

The third proportional to 68,569,280 and 146,437,968 is: 312,735,943.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,569,280 : 146,437,968 = 146,437,968 : x
  2. Step 2: Convert to fraction form
    68,569,280/146,437,968 = 146,437,968/x
  3. Step 3: Cross multiply
    68,569,280x = 146,437,968 × 146,437,968
  4. Step 4: Simplify right side
    68,569,280x = 21,444,078,471,969,024
  5. Step 5: Solve for x
    x = 21,444,078,471,969,024/68,569,280
  6. Step 6: Final answer
    x = 312,735,943.44

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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.