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Finding the Third Proportional to 200,290,117.50 and 427,035,825

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Solution

The third proportional to 200,290,117.50 and 427,035,825 is: 910,477,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,290,117.50 : 427,035,825 = 427,035,825 : x
  2. Step 2: Convert to fraction form
    200,290,117.50/427,035,825 = 427,035,825/x
  3. Step 3: Cross multiply
    200,290,117.50x = 427,035,825 × 427,035,825
  4. Step 4: Simplify right side
    200,290,117.50x = 182,359,595,833,430,624
  5. Step 5: Solve for x
    x = 182,359,595,833,430,624/200,290,117.50
  6. Step 6: Final answer
    x = 910,477,252.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.