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Finding the Third Proportional to 653,781 and 990,453

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Solution

The third proportional to 653,781 and 990,453 is: 1,500,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,781 : 990,453 = 990,453 : x
  2. Step 2: Convert to fraction form
    653,781/990,453 = 990,453/x
  3. Step 3: Cross multiply
    653,781x = 990,453 × 990,453
  4. Step 4: Simplify right side
    653,781x = 980,997,145,209
  5. Step 5: Solve for x
    x = 980,997,145,209/653,781
  6. Step 6: Final answer
    x = 1,500,498.10

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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.