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Finding the Third Proportional to 345,253 and 738,476

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Solution

The third proportional to 345,253 and 738,476 is: 1,579,557.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,253 : 738,476 = 738,476 : x
  2. Step 2: Convert to fraction form
    345,253/738,476 = 738,476/x
  3. Step 3: Cross multiply
    345,253x = 738,476 × 738,476
  4. Step 4: Simplify right side
    345,253x = 545,346,802,576
  5. Step 5: Solve for x
    x = 545,346,802,576/345,253
  6. Step 6: Final answer
    x = 1,579,557.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.