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Finding the Third Proportional to 409,248 and 899,700

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Solution

The third proportional to 409,248 and 899,700 is: 1,977,920.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,248 : 899,700 = 899,700 : x
  2. Step 2: Convert to fraction form
    409,248/899,700 = 899,700/x
  3. Step 3: Cross multiply
    409,248x = 899,700 × 899,700
  4. Step 4: Simplify right side
    409,248x = 809,460,090,000
  5. Step 5: Solve for x
    x = 809,460,090,000/409,248
  6. Step 6: Final answer
    x = 1,977,920.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.