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Finding the Third Proportional to 311,766,330 and 435,867,706.50

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Solution

The third proportional to 311,766,330 and 435,867,706.50 is: 609,368,746.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,766,330 : 435,867,706.50 = 435,867,706.50 : x
  2. Step 2: Convert to fraction form
    311,766,330/435,867,706.50 = 435,867,706.50/x
  3. Step 3: Cross multiply
    311,766,330x = 435,867,706.50 × 435,867,706.50
  4. Step 4: Simplify right side
    311,766,330x = 189,980,657,569,570,144
  5. Step 5: Solve for x
    x = 189,980,657,569,570,144/311,766,330
  6. Step 6: Final answer
    x = 609,368,746.04

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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.