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Finding the Third Proportional to 638,091,240 and 1,385,084,128

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Solution

The third proportional to 638,091,240 and 1,385,084,128 is: 3,006,557,560.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,091,240 : 1,385,084,128 = 1,385,084,128 : x
  2. Step 2: Convert to fraction form
    638,091,240/1,385,084,128 = 1,385,084,128/x
  3. Step 3: Cross multiply
    638,091,240x = 1,385,084,128 × 1,385,084,128
  4. Step 4: Simplify right side
    638,091,240x = 1,918,458,041,637,520,384
  5. Step 5: Solve for x
    x = 1,918,458,041,637,520,384/638,091,240
  6. Step 6: Final answer
    x = 3,006,557,560.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.