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Finding the Third Proportional to 356,721 and 742,965

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Solution

The third proportional to 356,721 and 742,965 is: 1,547,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,721 : 742,965 = 742,965 : x
  2. Step 2: Convert to fraction form
    356,721/742,965 = 742,965/x
  3. Step 3: Cross multiply
    356,721x = 742,965 × 742,965
  4. Step 4: Simplify right side
    356,721x = 551,996,991,225
  5. Step 5: Solve for x
    x = 551,996,991,225/356,721
  6. Step 6: Final answer
    x = 1,547,419.39

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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.