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Finding the Third Proportional to 299,335,801.50 and 640,039,525.88

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Solution

The third proportional to 299,335,801.50 and 640,039,525.88 is: 1,368,531,905.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,335,801.50 : 640,039,525.88 = 640,039,525.88 : x
  2. Step 2: Convert to fraction form
    299,335,801.50/640,039,525.88 = 640,039,525.88/x
  3. Step 3: Cross multiply
    299,335,801.50x = 640,039,525.88 × 640,039,525.88
  4. Step 4: Simplify right side
    299,335,801.50x = 409,650,594,682,294,784
  5. Step 5: Solve for x
    x = 409,650,594,682,294,784/299,335,801.50
  6. Step 6: Final answer
    x = 1,368,531,905.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.