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Finding the Third Proportional to 73,127,203,130 and 102,979,216,296

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Solution

The third proportional to 73,127,203,130 and 102,979,216,296 is: 145,017,429,014.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,127,203,130 : 102,979,216,296 = 102,979,216,296 : x
  2. Step 2: Convert to fraction form
    73,127,203,130/102,979,216,296 = 102,979,216,296/x
  3. Step 3: Cross multiply
    73,127,203,130x = 102,979,216,296 × 102,979,216,296
  4. Step 4: Simplify right side
    73,127,203,130x = 10,604,718,988,938,352,525,312
  5. Step 5: Solve for x
    x = 10,604,718,988,938,352,525,312/73,127,203,130
  6. Step 6: Final answer
    x = 145,017,429,014.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.