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Finding the Third Proportional to 390,580,995 and 835,522,792.50

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Solution

The third proportional to 390,580,995 and 835,522,792.50 is: 1,787,333,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,580,995 : 835,522,792.50 = 835,522,792.50 : x
  2. Step 2: Convert to fraction form
    390,580,995/835,522,792.50 = 835,522,792.50/x
  3. Step 3: Cross multiply
    390,580,995x = 835,522,792.50 × 835,522,792.50
  4. Step 4: Simplify right side
    390,580,995x = 698,098,336,786,998,016
  5. Step 5: Solve for x
    x = 698,098,336,786,998,016/390,580,995
  6. Step 6: Final answer
    x = 1,787,333,090.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.