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Finding the Third Proportional to 630,000 and 948,240

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Solution

The third proportional to 630,000 and 948,240 is: 1,427,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,000 : 948,240 = 948,240 : x
  2. Step 2: Convert to fraction form
    630,000/948,240 = 948,240/x
  3. Step 3: Cross multiply
    630,000x = 948,240 × 948,240
  4. Step 4: Simplify right side
    630,000x = 899,159,097,600
  5. Step 5: Solve for x
    x = 899,159,097,600/630,000
  6. Step 6: Final answer
    x = 1,427,236.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.