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Finding the Third Proportional to 339,152,724 and 734,648,346

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Solution

The third proportional to 339,152,724 and 734,648,346 is: 1,591,342,643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,152,724 : 734,648,346 = 734,648,346 : x
  2. Step 2: Convert to fraction form
    339,152,724/734,648,346 = 734,648,346/x
  3. Step 3: Cross multiply
    339,152,724x = 734,648,346 × 734,648,346
  4. Step 4: Simplify right side
    339,152,724x = 539,708,192,280,535,744
  5. Step 5: Solve for x
    x = 539,708,192,280,535,744/339,152,724
  6. Step 6: Final answer
    x = 1,591,342,643.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.