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Finding the Third Proportional to 84,168,316 and 181,120,376

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Solution

The third proportional to 84,168,316 and 181,120,376 is: 389,749,874.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,168,316 : 181,120,376 = 181,120,376 : x
  2. Step 2: Convert to fraction form
    84,168,316/181,120,376 = 181,120,376/x
  3. Step 3: Cross multiply
    84,168,316x = 181,120,376 × 181,120,376
  4. Step 4: Simplify right side
    84,168,316x = 32,804,590,602,381,376
  5. Step 5: Solve for x
    x = 32,804,590,602,381,376/84,168,316
  6. Step 6: Final answer
    x = 389,749,874.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.