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Finding the Third Proportional to 220,822,281 and 448,884,895.50

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Solution

The third proportional to 220,822,281 and 448,884,895.50 is: 912,487,854.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,822,281 : 448,884,895.50 = 448,884,895.50 : x
  2. Step 2: Convert to fraction form
    220,822,281/448,884,895.50 = 448,884,895.50/x
  3. Step 3: Cross multiply
    220,822,281x = 448,884,895.50 × 448,884,895.50
  4. Step 4: Simplify right side
    220,822,281x = 201,497,649,408,045,920
  5. Step 5: Solve for x
    x = 201,497,649,408,045,920/220,822,281
  6. Step 6: Final answer
    x = 912,487,854.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.