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Finding the Third Proportional to 277,903,080 and 408,771,216

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Solution

The third proportional to 277,903,080 and 408,771,216 is: 601,266,841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,903,080 : 408,771,216 = 408,771,216 : x
  2. Step 2: Convert to fraction form
    277,903,080/408,771,216 = 408,771,216/x
  3. Step 3: Cross multiply
    277,903,080x = 408,771,216 × 408,771,216
  4. Step 4: Simplify right side
    277,903,080x = 167,093,907,030,118,656
  5. Step 5: Solve for x
    x = 167,093,907,030,118,656/277,903,080
  6. Step 6: Final answer
    x = 601,266,841.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.