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Finding the Third Proportional to 67,993,370 and 145,688,324

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Solution

The third proportional to 67,993,370 and 145,688,324 is: 312,164,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,993,370 : 145,688,324 = 145,688,324 : x
  2. Step 2: Convert to fraction form
    67,993,370/145,688,324 = 145,688,324/x
  3. Step 3: Cross multiply
    67,993,370x = 145,688,324 × 145,688,324
  4. Step 4: Simplify right side
    67,993,370x = 21,225,087,749,928,976
  5. Step 5: Solve for x
    x = 21,225,087,749,928,976/67,993,370
  6. Step 6: Final answer
    x = 312,164,079.38

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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.