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Finding the Third Proportional to 548,122,836 and 807,044,382

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Solution

The third proportional to 548,122,836 and 807,044,382 is: 1,188,274,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,122,836 : 807,044,382 = 807,044,382 : x
  2. Step 2: Convert to fraction form
    548,122,836/807,044,382 = 807,044,382/x
  3. Step 3: Cross multiply
    548,122,836x = 807,044,382 × 807,044,382
  4. Step 4: Simplify right side
    548,122,836x = 651,320,634,517,761,920
  5. Step 5: Solve for x
    x = 651,320,634,517,761,920/548,122,836
  6. Step 6: Final answer
    x = 1,188,274,948.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.