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Finding the Third Proportional to 332,328,324 and 727,199,014.50

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Solution

The third proportional to 332,328,324 and 727,199,014.50 is: 1,591,252,892.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,328,324 : 727,199,014.50 = 727,199,014.50 : x
  2. Step 2: Convert to fraction form
    332,328,324/727,199,014.50 = 727,199,014.50/x
  3. Step 3: Cross multiply
    332,328,324x = 727,199,014.50 × 727,199,014.50
  4. Step 4: Simplify right side
    332,328,324x = 528,818,406,689,771,200
  5. Step 5: Solve for x
    x = 528,818,406,689,771,200/332,328,324
  6. Step 6: Final answer
    x = 1,591,252,892.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.