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Finding the Third Proportional to 382,254,588 and 590,280,480

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Solution

The third proportional to 382,254,588 and 590,280,480 is: 911,515,665.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,254,588 : 590,280,480 = 590,280,480 : x
  2. Step 2: Convert to fraction form
    382,254,588/590,280,480 = 590,280,480/x
  3. Step 3: Cross multiply
    382,254,588x = 590,280,480 × 590,280,480
  4. Step 4: Simplify right side
    382,254,588x = 348,431,045,069,030,400
  5. Step 5: Solve for x
    x = 348,431,045,069,030,400/382,254,588
  6. Step 6: Final answer
    x = 911,515,665.23

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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.