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Finding the Third Proportional to 145,257,757.50 and 311,238,411

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Solution

The third proportional to 145,257,757.50 and 311,238,411 is: 666,879,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,257,757.50 : 311,238,411 = 311,238,411 : x
  2. Step 2: Convert to fraction form
    145,257,757.50/311,238,411 = 311,238,411/x
  3. Step 3: Cross multiply
    145,257,757.50x = 311,238,411 × 311,238,411
  4. Step 4: Simplify right side
    145,257,757.50x = 96,869,348,481,804,928
  5. Step 5: Solve for x
    x = 96,869,348,481,804,928/145,257,757.50
  6. Step 6: Final answer
    x = 666,879,002.88

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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.