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Finding the Third Proportional to 356,473 and 742,433

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Solution

The third proportional to 356,473 and 742,433 is: 1,546,279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,473 : 742,433 = 742,433 : x
  2. Step 2: Convert to fraction form
    356,473/742,433 = 742,433/x
  3. Step 3: Cross multiply
    356,473x = 742,433 × 742,433
  4. Step 4: Simplify right side
    356,473x = 551,206,759,489
  5. Step 5: Solve for x
    x = 551,206,759,489/356,473
  6. Step 6: Final answer
    x = 1,546,279.13

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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.