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Finding the Third Proportional to 373,341,168 and 537,774,336

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Solution

The third proportional to 373,341,168 and 537,774,336 is: 774,629,912.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,341,168 : 537,774,336 = 537,774,336 : x
  2. Step 2: Convert to fraction form
    373,341,168/537,774,336 = 537,774,336/x
  3. Step 3: Cross multiply
    373,341,168x = 537,774,336 × 537,774,336
  4. Step 4: Simplify right side
    373,341,168x = 289,201,236,460,240,896
  5. Step 5: Solve for x
    x = 289,201,236,460,240,896/373,341,168
  6. Step 6: Final answer
    x = 774,629,912.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.