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Finding the Third Proportional to 129,528,102 and 280,579,578

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Solution

The third proportional to 129,528,102 and 280,579,578 is: 607,782,391.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,528,102 : 280,579,578 = 280,579,578 : x
  2. Step 2: Convert to fraction form
    129,528,102/280,579,578 = 280,579,578/x
  3. Step 3: Cross multiply
    129,528,102x = 280,579,578 × 280,579,578
  4. Step 4: Simplify right side
    129,528,102x = 78,724,899,590,658,080
  5. Step 5: Solve for x
    x = 78,724,899,590,658,080/129,528,102
  6. Step 6: Final answer
    x = 607,782,391.43

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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.