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Finding the Third Proportional to 202,843,140 and 303,070,643

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Solution

The third proportional to 202,843,140 and 303,070,643 is: 452,821,893.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,843,140 : 303,070,643 = 303,070,643 : x
  2. Step 2: Convert to fraction form
    202,843,140/303,070,643 = 303,070,643/x
  3. Step 3: Cross multiply
    202,843,140x = 303,070,643 × 303,070,643
  4. Step 4: Simplify right side
    202,843,140x = 91,851,814,648,433,456
  5. Step 5: Solve for x
    x = 91,851,814,648,433,456/202,843,140
  6. Step 6: Final answer
    x = 452,821,893.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.