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Finding the Third Proportional to 306,484,680 and 680,993,808

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Solution

The third proportional to 306,484,680 and 680,993,808 is: 1,513,134,576.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,484,680 : 680,993,808 = 680,993,808 : x
  2. Step 2: Convert to fraction form
    306,484,680/680,993,808 = 680,993,808/x
  3. Step 3: Cross multiply
    306,484,680x = 680,993,808 × 680,993,808
  4. Step 4: Simplify right side
    306,484,680x = 463,752,566,534,340,864
  5. Step 5: Solve for x
    x = 463,752,566,534,340,864/306,484,680
  6. Step 6: Final answer
    x = 1,513,134,576.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.