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Finding the Third Proportional to 408,045,984 and 885,370,280

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Solution

The third proportional to 408,045,984 and 885,370,280 is: 1,921,059,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,045,984 : 885,370,280 = 885,370,280 : x
  2. Step 2: Convert to fraction form
    408,045,984/885,370,280 = 885,370,280/x
  3. Step 3: Cross multiply
    408,045,984x = 885,370,280 × 885,370,280
  4. Step 4: Simplify right side
    408,045,984x = 783,880,532,707,278,336
  5. Step 5: Solve for x
    x = 783,880,532,707,278,336/408,045,984
  6. Step 6: Final answer
    x = 1,921,059,300.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.