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Finding the Third Proportional to 657,970 and 1,415,728

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Solution

The third proportional to 657,970 and 1,415,728 is: 3,046,165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,970 : 1,415,728 = 1,415,728 : x
  2. Step 2: Convert to fraction form
    657,970/1,415,728 = 1,415,728/x
  3. Step 3: Cross multiply
    657,970x = 1,415,728 × 1,415,728
  4. Step 4: Simplify right side
    657,970x = 2,004,285,769,984
  5. Step 5: Solve for x
    x = 2,004,285,769,984/657,970
  6. Step 6: Final answer
    x = 3,046,165.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.