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Finding the Third Proportional to 245,896.88 and 390,998.81

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Solution

The third proportional to 245,896.88 and 390,998.81 is: 621,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,896.88 : 390,998.81 = 390,998.81 : x
  2. Step 2: Convert to fraction form
    245,896.88/390,998.81 = 390,998.81/x
  3. Step 3: Cross multiply
    245,896.88x = 390,998.81 × 390,998.81
  4. Step 4: Simplify right side
    245,896.88x = 152,880,071,376.41
  5. Step 5: Solve for x
    x = 152,880,071,376.41/245,896.88
  6. Step 6: Final answer
    x = 621,724.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.