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Finding the Third Proportional to 128,585,688 and 282,143,568

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Solution

The third proportional to 128,585,688 and 282,143,568 is: 619,081,285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,585,688 : 282,143,568 = 282,143,568 : x
  2. Step 2: Convert to fraction form
    128,585,688/282,143,568 = 282,143,568/x
  3. Step 3: Cross multiply
    128,585,688x = 282,143,568 × 282,143,568
  4. Step 4: Simplify right side
    128,585,688x = 79,604,992,963,770,624
  5. Step 5: Solve for x
    x = 79,604,992,963,770,624/128,585,688
  6. Step 6: Final answer
    x = 619,081,285.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.