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Finding the Third Proportional to 909,733,213 and 1,330,482,559.50

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Solution

The third proportional to 909,733,213 and 1,330,482,559.50 is: 1,945,827,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,733,213 : 1,330,482,559.50 = 1,330,482,559.50 : x
  2. Step 2: Convert to fraction form
    909,733,213/1,330,482,559.50 = 1,330,482,559.50/x
  3. Step 3: Cross multiply
    909,733,213x = 1,330,482,559.50 × 1,330,482,559.50
  4. Step 4: Simplify right side
    909,733,213x = 1,770,183,841,133,671,168
  5. Step 5: Solve for x
    x = 1,770,183,841,133,671,168/909,733,213
  6. Step 6: Final answer
    x = 1,945,827,431.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.