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Finding the Third Proportional to 382,340,485.41 and 590,400,578.53

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Solution

The third proportional to 382,340,485.41 and 590,400,578.53 is: 911,681,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,340,485.41 : 590,400,578.53 = 590,400,578.53 : x
  2. Step 2: Convert to fraction form
    382,340,485.41/590,400,578.53 = 590,400,578.53/x
  3. Step 3: Cross multiply
    382,340,485.41x = 590,400,578.53 × 590,400,578.53
  4. Step 4: Simplify right side
    382,340,485.41x = 348,572,843,130,034,688
  5. Step 5: Solve for x
    x = 348,572,843,130,034,688/382,340,485.41
  6. Step 6: Final answer
    x = 911,681,750.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.