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Finding the Third Proportional to 86,355,417 and 123,489,261

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Solution

The third proportional to 86,355,417 and 123,489,261 is: 176,591,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,355,417 : 123,489,261 = 123,489,261 : x
  2. Step 2: Convert to fraction form
    86,355,417/123,489,261 = 123,489,261/x
  3. Step 3: Cross multiply
    86,355,417x = 123,489,261 × 123,489,261
  4. Step 4: Simplify right side
    86,355,417x = 15,249,597,582,326,120
  5. Step 5: Solve for x
    x = 15,249,597,582,326,120/86,355,417
  6. Step 6: Final answer
    x = 176,591,094.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.