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Finding the Third Proportional to 454,617 and 698,985

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Solution

The third proportional to 454,617 and 698,985 is: 1,074,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,617 : 698,985 = 698,985 : x
  2. Step 2: Convert to fraction form
    454,617/698,985 = 698,985/x
  3. Step 3: Cross multiply
    454,617x = 698,985 × 698,985
  4. Step 4: Simplify right side
    454,617x = 488,580,030,225
  5. Step 5: Solve for x
    x = 488,580,030,225/454,617
  6. Step 6: Final answer
    x = 1,074,706.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.