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Finding the Third Proportional to 618,560 and 947,808

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Solution

The third proportional to 618,560 and 947,808 is: 1,452,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,560 : 947,808 = 947,808 : x
  2. Step 2: Convert to fraction form
    618,560/947,808 = 947,808/x
  3. Step 3: Cross multiply
    618,560x = 947,808 × 947,808
  4. Step 4: Simplify right side
    618,560x = 898,340,004,864
  5. Step 5: Solve for x
    x = 898,340,004,864/618,560
  6. Step 6: Final answer
    x = 1,452,308.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.