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Finding the Third Proportional to 242,118,419 and 339,740,071.50

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Solution

The third proportional to 242,118,419 and 339,740,071.50 is: 476,722,575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,118,419 : 339,740,071.50 = 339,740,071.50 : x
  2. Step 2: Convert to fraction form
    242,118,419/339,740,071.50 = 339,740,071.50/x
  3. Step 3: Cross multiply
    242,118,419x = 339,740,071.50 × 339,740,071.50
  4. Step 4: Simplify right side
    242,118,419x = 115,423,316,182,825,120
  5. Step 5: Solve for x
    x = 115,423,316,182,825,120/242,118,419
  6. Step 6: Final answer
    x = 476,722,575.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.