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Finding the Third Proportional to 936,254,608 and 1,377,233,735.50

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Solution

The third proportional to 936,254,608 and 1,377,233,735.50 is: 2,025,915,542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,254,608 : 1,377,233,735.50 = 1,377,233,735.50 : x
  2. Step 2: Convert to fraction form
    936,254,608/1,377,233,735.50 = 1,377,233,735.50/x
  3. Step 3: Cross multiply
    936,254,608x = 1,377,233,735.50 × 1,377,233,735.50
  4. Step 4: Simplify right side
    936,254,608x = 1,896,772,762,199,283,968
  5. Step 5: Solve for x
    x = 1,896,772,762,199,283,968/936,254,608
  6. Step 6: Final answer
    x = 2,025,915,542.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.