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Finding the Third Proportional to 654,480 and 1,427,220

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Solution

The third proportional to 654,480 and 1,427,220 is: 3,112,328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,480 : 1,427,220 = 1,427,220 : x
  2. Step 2: Convert to fraction form
    654,480/1,427,220 = 1,427,220/x
  3. Step 3: Cross multiply
    654,480x = 1,427,220 × 1,427,220
  4. Step 4: Simplify right side
    654,480x = 2,036,956,928,400
  5. Step 5: Solve for x
    x = 2,036,956,928,400/654,480
  6. Step 6: Final answer
    x = 3,112,328.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.