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Finding the Third Proportional to 514,480 and 804,648

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Solution

The third proportional to 514,480 and 804,648 is: 1,258,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,480 : 804,648 = 804,648 : x
  2. Step 2: Convert to fraction form
    514,480/804,648 = 804,648/x
  3. Step 3: Cross multiply
    514,480x = 804,648 × 804,648
  4. Step 4: Simplify right side
    514,480x = 647,458,403,904
  5. Step 5: Solve for x
    x = 647,458,403,904/514,480
  6. Step 6: Final answer
    x = 1,258,471.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.