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Finding the Third Proportional to 557,664 and 841,728

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Solution

The third proportional to 557,664 and 841,728 is: 1,270,489.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,664 : 841,728 = 841,728 : x
  2. Step 2: Convert to fraction form
    557,664/841,728 = 841,728/x
  3. Step 3: Cross multiply
    557,664x = 841,728 × 841,728
  4. Step 4: Simplify right side
    557,664x = 708,506,025,984
  5. Step 5: Solve for x
    x = 708,506,025,984/557,664
  6. Step 6: Final answer
    x = 1,270,489.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.