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Finding the Third Proportional to 356,298 and 742,082

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Solution

The third proportional to 356,298 and 742,082 is: 1,545,576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,298 : 742,082 = 742,082 : x
  2. Step 2: Convert to fraction form
    356,298/742,082 = 742,082/x
  3. Step 3: Cross multiply
    356,298x = 742,082 × 742,082
  4. Step 4: Simplify right side
    356,298x = 550,685,694,724
  5. Step 5: Solve for x
    x = 550,685,694,724/356,298
  6. Step 6: Final answer
    x = 1,545,576.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.