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Finding the Third Proportional to 280,759,813 and 605,911,513

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Solution

The third proportional to 280,759,813 and 605,911,513 is: 1,307,625,751.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,759,813 : 605,911,513 = 605,911,513 : x
  2. Step 2: Convert to fraction form
    280,759,813/605,911,513 = 605,911,513/x
  3. Step 3: Cross multiply
    280,759,813x = 605,911,513 × 605,911,513
  4. Step 4: Simplify right side
    280,759,813x = 367,128,761,585,949,184
  5. Step 5: Solve for x
    x = 367,128,761,585,949,184/280,759,813
  6. Step 6: Final answer
    x = 1,307,625,751.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.