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Finding the Third Proportional to 30,878,598 and 67,135,032

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Solution

The third proportional to 30,878,598 and 67,135,032 is: 145,962,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878,598 : 67,135,032 = 67,135,032 : x
  2. Step 2: Convert to fraction form
    30,878,598/67,135,032 = 67,135,032/x
  3. Step 3: Cross multiply
    30,878,598x = 67,135,032 × 67,135,032
  4. Step 4: Simplify right side
    30,878,598x = 4,507,112,521,641,024
  5. Step 5: Solve for x
    x = 4,507,112,521,641,024/30,878,598
  6. Step 6: Final answer
    x = 145,962,343.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.