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Finding the Third Proportional to 309,458,807.25 and 462,962,829

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Solution

The third proportional to 309,458,807.25 and 462,962,829 is: 692,611,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,458,807.25 : 462,962,829 = 462,962,829 : x
  2. Step 2: Convert to fraction form
    309,458,807.25/462,962,829 = 462,962,829/x
  3. Step 3: Cross multiply
    309,458,807.25x = 462,962,829 × 462,962,829
  4. Step 4: Simplify right side
    309,458,807.25x = 214,334,581,035,683,232
  5. Step 5: Solve for x
    x = 214,334,581,035,683,232/309,458,807.25
  6. Step 6: Final answer
    x = 692,611,022.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.