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Finding the Third Proportional to 562,448 and 803,728

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Solution

The third proportional to 562,448 and 803,728 is: 1,148,512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,448 : 803,728 = 803,728 : x
  2. Step 2: Convert to fraction form
    562,448/803,728 = 803,728/x
  3. Step 3: Cross multiply
    562,448x = 803,728 × 803,728
  4. Step 4: Simplify right side
    562,448x = 645,978,697,984
  5. Step 5: Solve for x
    x = 645,978,697,984/562,448
  6. Step 6: Final answer
    x = 1,148,512.75

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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.