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Finding the Third Proportional to 338,296,389 and 538,301,653.50

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Solution

The third proportional to 338,296,389 and 538,301,653.50 is: 856,552,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,296,389 : 538,301,653.50 = 538,301,653.50 : x
  2. Step 2: Convert to fraction form
    338,296,389/538,301,653.50 = 538,301,653.50/x
  3. Step 3: Cross multiply
    338,296,389x = 538,301,653.50 × 538,301,653.50
  4. Step 4: Simplify right side
    338,296,389x = 289,768,670,160,834,048
  5. Step 5: Solve for x
    x = 289,768,670,160,834,048/338,296,389
  6. Step 6: Final answer
    x = 856,552,654.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.