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Finding the Third Proportional to 209,917,164 and 455,516,148

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Solution

The third proportional to 209,917,164 and 455,516,148 is: 988,461,148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,917,164 : 455,516,148 = 455,516,148 : x
  2. Step 2: Convert to fraction form
    209,917,164/455,516,148 = 455,516,148/x
  3. Step 3: Cross multiply
    209,917,164x = 455,516,148 × 455,516,148
  4. Step 4: Simplify right side
    209,917,164x = 207,494,961,088,757,888
  5. Step 5: Solve for x
    x = 207,494,961,088,757,888/209,917,164
  6. Step 6: Final answer
    x = 988,461,148.84

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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.