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Finding the Third Proportional to 390,275,496 and 770,680,656

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Solution

The third proportional to 390,275,496 and 770,680,656 is: 1,521,870,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,275,496 : 770,680,656 = 770,680,656 : x
  2. Step 2: Convert to fraction form
    390,275,496/770,680,656 = 770,680,656/x
  3. Step 3: Cross multiply
    390,275,496x = 770,680,656 × 770,680,656
  4. Step 4: Simplify right side
    390,275,496x = 593,948,673,532,590,336
  5. Step 5: Solve for x
    x = 593,948,673,532,590,336/390,275,496
  6. Step 6: Final answer
    x = 1,521,870,267.59

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.