Home / 320,030,916.47-698,209,993.97

Finding the Third Proportional to 320,030,916.47 and 698,209,993.97

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Solution

The third proportional to 320,030,916.47 and 698,209,993.97 is: 1,523,281,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,030,916.47 : 698,209,993.97 = 698,209,993.97 : x
  2. Step 2: Convert to fraction form
    320,030,916.47/698,209,993.97 = 698,209,993.97/x
  3. Step 3: Cross multiply
    320,030,916.47x = 698,209,993.97 × 698,209,993.97
  4. Step 4: Simplify right side
    320,030,916.47x = 487,497,195,677,841,920
  5. Step 5: Solve for x
    x = 487,497,195,677,841,920/320,030,916.47
  6. Step 6: Final answer
    x = 1,523,281,566.22

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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.