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Finding the Third Proportional to 117,240,417 and 172,450,428.75

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Solution

The third proportional to 117,240,417 and 172,450,428.75 is: 253,659,541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,240,417 : 172,450,428.75 = 172,450,428.75 : x
  2. Step 2: Convert to fraction form
    117,240,417/172,450,428.75 = 172,450,428.75/x
  3. Step 3: Cross multiply
    117,240,417x = 172,450,428.75 × 172,450,428.75
  4. Step 4: Simplify right side
    117,240,417x = 29,739,150,376,058,828
  5. Step 5: Solve for x
    x = 29,739,150,376,058,828/117,240,417
  6. Step 6: Final answer
    x = 253,659,541.11

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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.