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Finding the Third Proportional to 311,766,327 and 435,867,702.75

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Solution

The third proportional to 311,766,327 and 435,867,702.75 is: 609,368,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,766,327 : 435,867,702.75 = 435,867,702.75 : x
  2. Step 2: Convert to fraction form
    311,766,327/435,867,702.75 = 435,867,702.75/x
  3. Step 3: Cross multiply
    311,766,327x = 435,867,702.75 × 435,867,702.75
  4. Step 4: Simplify right side
    311,766,327x = 189,980,654,300,562,368
  5. Step 5: Solve for x
    x = 189,980,654,300,562,368/311,766,327
  6. Step 6: Final answer
    x = 609,368,741.42

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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.