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Finding the Third Proportional to 445,190,266 and 615,168,807

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Solution

The third proportional to 445,190,266 and 615,168,807 is: 850,047,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,190,266 : 615,168,807 = 615,168,807 : x
  2. Step 2: Convert to fraction form
    445,190,266/615,168,807 = 615,168,807/x
  3. Step 3: Cross multiply
    445,190,266x = 615,168,807 × 615,168,807
  4. Step 4: Simplify right side
    445,190,266x = 378,432,661,105,803,264
  5. Step 5: Solve for x
    x = 378,432,661,105,803,264/445,190,266
  6. Step 6: Final answer
    x = 850,047,024.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.