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Finding the Third Proportional to 179,478,909 and 390,404,232

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Solution

The third proportional to 179,478,909 and 390,404,232 is: 849,211,003.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,478,909 : 390,404,232 = 390,404,232 : x
  2. Step 2: Convert to fraction form
    179,478,909/390,404,232 = 390,404,232/x
  3. Step 3: Cross multiply
    179,478,909x = 390,404,232 × 390,404,232
  4. Step 4: Simplify right side
    179,478,909x = 152,415,464,363,509,824
  5. Step 5: Solve for x
    x = 152,415,464,363,509,824/179,478,909
  6. Step 6: Final answer
    x = 849,211,003.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.