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Finding the Third Proportional to 320,030,990 and 698,210,140

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Solution

The third proportional to 320,030,990 and 698,210,140 is: 1,523,281,853.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,030,990 : 698,210,140 = 698,210,140 : x
  2. Step 2: Convert to fraction form
    320,030,990/698,210,140 = 698,210,140/x
  3. Step 3: Cross multiply
    320,030,990x = 698,210,140 × 698,210,140
  4. Step 4: Simplify right side
    320,030,990x = 487,497,399,598,819,584
  5. Step 5: Solve for x
    x = 487,497,399,598,819,584/320,030,990
  6. Step 6: Final answer
    x = 1,523,281,853.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.