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Finding the Third Proportional to 67,318,299 and 145,265,418

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Solution

The third proportional to 67,318,299 and 145,265,418 is: 313,466,649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,318,299 : 145,265,418 = 145,265,418 : x
  2. Step 2: Convert to fraction form
    67,318,299/145,265,418 = 145,265,418/x
  3. Step 3: Cross multiply
    67,318,299x = 145,265,418 × 145,265,418
  4. Step 4: Simplify right side
    67,318,299x = 21,102,041,666,714,724
  5. Step 5: Solve for x
    x = 21,102,041,666,714,724/67,318,299
  6. Step 6: Final answer
    x = 313,466,649.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.