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Finding the Third Proportional to 660,009 and 1,029,435

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Solution

The third proportional to 660,009 and 1,029,435 is: 1,605,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,009 : 1,029,435 = 1,029,435 : x
  2. Step 2: Convert to fraction form
    660,009/1,029,435 = 1,029,435/x
  3. Step 3: Cross multiply
    660,009x = 1,029,435 × 1,029,435
  4. Step 4: Simplify right side
    660,009x = 1,059,736,419,225
  5. Step 5: Solve for x
    x = 1,059,736,419,225/660,009
  6. Step 6: Final answer
    x = 1,605,639.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.