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Finding the Third Proportional to 623,803 and 947,379

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Solution

The third proportional to 623,803 and 947,379 is: 1,438,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,803 : 947,379 = 947,379 : x
  2. Step 2: Convert to fraction form
    623,803/947,379 = 947,379/x
  3. Step 3: Cross multiply
    623,803x = 947,379 × 947,379
  4. Step 4: Simplify right side
    623,803x = 897,526,969,641
  5. Step 5: Solve for x
    x = 897,526,969,641/623,803
  6. Step 6: Final answer
    x = 1,438,798.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.