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Finding the Third Proportional to 145,257,515 and 311,237,920

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Solution

The third proportional to 145,257,515 and 311,237,920 is: 666,878,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,257,515 : 311,237,920 = 311,237,920 : x
  2. Step 2: Convert to fraction form
    145,257,515/311,237,920 = 311,237,920/x
  3. Step 3: Cross multiply
    145,257,515x = 311,237,920 × 311,237,920
  4. Step 4: Simplify right side
    145,257,515x = 96,869,042,845,926,400
  5. Step 5: Solve for x
    x = 96,869,042,845,926,400/145,257,515
  6. Step 6: Final answer
    x = 666,878,012.10

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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.