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Finding the Third Proportional to 117,220,455 and 172,318,510.50

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Solution

The third proportional to 117,220,455 and 172,318,510.50 is: 253,314,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,220,455 : 172,318,510.50 = 172,318,510.50 : x
  2. Step 2: Convert to fraction form
    117,220,455/172,318,510.50 = 172,318,510.50/x
  3. Step 3: Cross multiply
    117,220,455x = 172,318,510.50 × 172,318,510.50
  4. Step 4: Simplify right side
    117,220,455x = 29,693,669,060,938,612
  5. Step 5: Solve for x
    x = 29,693,669,060,938,612/117,220,455
  6. Step 6: Final answer
    x = 253,314,739.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.