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Finding the Third Proportional to 216,343,380 and 465,490,945.50

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Solution

The third proportional to 216,343,380 and 465,490,945.50 is: 1,001,564,366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,343,380 : 465,490,945.50 = 465,490,945.50 : x
  2. Step 2: Convert to fraction form
    216,343,380/465,490,945.50 = 465,490,945.50/x
  3. Step 3: Cross multiply
    216,343,380x = 465,490,945.50 × 465,490,945.50
  4. Step 4: Simplify right side
    216,343,380x = 216,681,820,342,483,968
  5. Step 5: Solve for x
    x = 216,681,820,342,483,968/216,343,380
  6. Step 6: Final answer
    x = 1,001,564,366.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.