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Finding the Third Proportional to 459,721 and 974,728

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Solution

The third proportional to 459,721 and 974,728 is: 2,066,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,721 : 974,728 = 974,728 : x
  2. Step 2: Convert to fraction form
    459,721/974,728 = 974,728/x
  3. Step 3: Cross multiply
    459,721x = 974,728 × 974,728
  4. Step 4: Simplify right side
    459,721x = 950,094,673,984
  5. Step 5: Solve for x
    x = 950,094,673,984/459,721
  6. Step 6: Final answer
    x = 2,066,676.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.