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Finding the Third Proportional to 66,763,376 and 142,345,282

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Solution

The third proportional to 66,763,376 and 142,345,282 is: 303,492,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,763,376 : 142,345,282 = 142,345,282 : x
  2. Step 2: Convert to fraction form
    66,763,376/142,345,282 = 142,345,282/x
  3. Step 3: Cross multiply
    66,763,376x = 142,345,282 × 142,345,282
  4. Step 4: Simplify right side
    66,763,376x = 20,262,179,307,659,524
  5. Step 5: Solve for x
    x = 20,262,179,307,659,524/66,763,376
  6. Step 6: Final answer
    x = 303,492,431.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.