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Finding the Third Proportional to 288,448,350 and 587,090,643

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Solution

The third proportional to 288,448,350 and 587,090,643 is: 1,194,929,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,448,350 : 587,090,643 = 587,090,643 : x
  2. Step 2: Convert to fraction form
    288,448,350/587,090,643 = 587,090,643/x
  3. Step 3: Cross multiply
    288,448,350x = 587,090,643 × 587,090,643
  4. Step 4: Simplify right side
    288,448,350x = 344,675,423,098,153,472
  5. Step 5: Solve for x
    x = 344,675,423,098,153,472/288,448,350
  6. Step 6: Final answer
    x = 1,194,929,432.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.