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Finding the Third Proportional to 638,148,600 and 1,388,106,540

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Solution

The third proportional to 638,148,600 and 1,388,106,540 is: 3,019,421,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,148,600 : 1,388,106,540 = 1,388,106,540 : x
  2. Step 2: Convert to fraction form
    638,148,600/1,388,106,540 = 1,388,106,540/x
  3. Step 3: Cross multiply
    638,148,600x = 1,388,106,540 × 1,388,106,540
  4. Step 4: Simplify right side
    638,148,600x = 1,926,839,766,390,771,712
  5. Step 5: Solve for x
    x = 1,926,839,766,390,771,712/638,148,600
  6. Step 6: Final answer
    x = 3,019,421,755.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.