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Finding the Third Proportional to 306,484,730 and 680,993,908

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Solution

The third proportional to 306,484,730 and 680,993,908 is: 1,513,134,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,484,730 : 680,993,908 = 680,993,908 : x
  2. Step 2: Convert to fraction form
    306,484,730/680,993,908 = 680,993,908/x
  3. Step 3: Cross multiply
    306,484,730x = 680,993,908 × 680,993,908
  4. Step 4: Simplify right side
    306,484,730x = 463,752,702,733,112,448
  5. Step 5: Solve for x
    x = 463,752,702,733,112,448/306,484,730
  6. Step 6: Final answer
    x = 1,513,134,774.23

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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.