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Finding the Third Proportional to 122,460,582,888 and 191,684,259,026

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Solution

The third proportional to 122,460,582,888 and 191,684,259,026 is: 300,038,218,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,460,582,888 : 191,684,259,026 = 191,684,259,026 : x
  2. Step 2: Convert to fraction form
    122,460,582,888/191,684,259,026 = 191,684,259,026/x
  3. Step 3: Cross multiply
    122,460,582,888x = 191,684,259,026 × 191,684,259,026
  4. Step 4: Simplify right side
    122,460,582,888x = 36,742,855,158,346,660,446,208
  5. Step 5: Solve for x
    x = 36,742,855,158,346,660,446,208/122,460,582,888
  6. Step 6: Final answer
    x = 300,038,218,762.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.