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Finding the Third Proportional to 726,111 and 1,578,159

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Solution

The third proportional to 726,111 and 1,578,159 is: 3,430,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,111 : 1,578,159 = 1,578,159 : x
  2. Step 2: Convert to fraction form
    726,111/1,578,159 = 1,578,159/x
  3. Step 3: Cross multiply
    726,111x = 1,578,159 × 1,578,159
  4. Step 4: Simplify right side
    726,111x = 2,490,585,829,281
  5. Step 5: Solve for x
    x = 2,490,585,829,281/726,111
  6. Step 6: Final answer
    x = 3,430,034.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.