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Finding the Third Proportional to 341,364 and 742,921.50

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Solution

The third proportional to 341,364 and 742,921.50 is: 1,616,844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,364 : 742,921.50 = 742,921.50 : x
  2. Step 2: Convert to fraction form
    341,364/742,921.50 = 742,921.50/x
  3. Step 3: Cross multiply
    341,364x = 742,921.50 × 742,921.50
  4. Step 4: Simplify right side
    341,364x = 551,932,355,162.25
  5. Step 5: Solve for x
    x = 551,932,355,162.25/341,364
  6. Step 6: Final answer
    x = 1,616,844.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.