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Finding the Third Proportional to 630,246 and 918,288

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Solution

The third proportional to 630,246 and 918,288 is: 1,337,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,246 : 918,288 = 918,288 : x
  2. Step 2: Convert to fraction form
    630,246/918,288 = 918,288/x
  3. Step 3: Cross multiply
    630,246x = 918,288 × 918,288
  4. Step 4: Simplify right side
    630,246x = 843,252,850,944
  5. Step 5: Solve for x
    x = 843,252,850,944/630,246
  6. Step 6: Final answer
    x = 1,337,974.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.