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Finding the Third Proportional to 657,342 and 939,357

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Solution

The third proportional to 657,342 and 939,357 is: 1,342,362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,342 : 939,357 = 939,357 : x
  2. Step 2: Convert to fraction form
    657,342/939,357 = 939,357/x
  3. Step 3: Cross multiply
    657,342x = 939,357 × 939,357
  4. Step 4: Simplify right side
    657,342x = 882,391,573,449
  5. Step 5: Solve for x
    x = 882,391,573,449/657,342
  6. Step 6: Final answer
    x = 1,342,362.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.