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Finding the Third Proportional to 30,271,485.80 and 64,579,080.09

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Solution

The third proportional to 30,271,485.80 and 64,579,080.09 is: 137,768,513.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,271,485.80 : 64,579,080.09 = 64,579,080.09 : x
  2. Step 2: Convert to fraction form
    30,271,485.80/64,579,080.09 = 64,579,080.09/x
  3. Step 3: Cross multiply
    30,271,485.80x = 64,579,080.09 × 64,579,080.09
  4. Step 4: Simplify right side
    30,271,485.80x = 4,170,457,585,754,977.50
  5. Step 5: Solve for x
    x = 4,170,457,585,754,977.50/30,271,485.80
  6. Step 6: Final answer
    x = 137,768,513.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.