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Finding the Third Proportional to 306,106 and 714,807

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Solution

The third proportional to 306,106 and 714,807 is: 1,669,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,106 : 714,807 = 714,807 : x
  2. Step 2: Convert to fraction form
    306,106/714,807 = 714,807/x
  3. Step 3: Cross multiply
    306,106x = 714,807 × 714,807
  4. Step 4: Simplify right side
    306,106x = 510,949,047,249
  5. Step 5: Solve for x
    x = 510,949,047,249/306,106
  6. Step 6: Final answer
    x = 1,669,189.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.