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Finding the Third Proportional to 512,207,706 and 1,102,101,128

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Solution

The third proportional to 512,207,706 and 1,102,101,128 is: 2,371,356,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,207,706 : 1,102,101,128 = 1,102,101,128 : x
  2. Step 2: Convert to fraction form
    512,207,706/1,102,101,128 = 1,102,101,128/x
  3. Step 3: Cross multiply
    512,207,706x = 1,102,101,128 × 1,102,101,128
  4. Step 4: Simplify right side
    512,207,706x = 1,214,626,896,338,872,320
  5. Step 5: Solve for x
    x = 1,214,626,896,338,872,320/512,207,706
  6. Step 6: Final answer
    x = 2,371,356,155.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.