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Finding the Third Proportional to 4,600,020 and 10,085,772

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Solution

The third proportional to 4,600,020 and 10,085,772 is: 22,113,555.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600,020 : 10,085,772 = 10,085,772 : x
  2. Step 2: Convert to fraction form
    4,600,020/10,085,772 = 10,085,772/x
  3. Step 3: Cross multiply
    4,600,020x = 10,085,772 × 10,085,772
  4. Step 4: Simplify right side
    4,600,020x = 101,722,796,835,984
  5. Step 5: Solve for x
    x = 101,722,796,835,984/4,600,020
  6. Step 6: Final answer
    x = 22,113,555.34

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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.