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Finding the Third Proportional to 289,658 and 607,005

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Solution

The third proportional to 289,658 and 607,005 is: 1,272,034.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,658 : 607,005 = 607,005 : x
  2. Step 2: Convert to fraction form
    289,658/607,005 = 607,005/x
  3. Step 3: Cross multiply
    289,658x = 607,005 × 607,005
  4. Step 4: Simplify right side
    289,658x = 368,455,070,025
  5. Step 5: Solve for x
    x = 368,455,070,025/289,658
  6. Step 6: Final answer
    x = 1,272,034.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.