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Finding the Third Proportional to 78,376,035 and 123,575,056.50

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Solution

The third proportional to 78,376,035 and 123,575,056.50 is: 194,840,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,376,035 : 123,575,056.50 = 123,575,056.50 : x
  2. Step 2: Convert to fraction form
    78,376,035/123,575,056.50 = 123,575,056.50/x
  3. Step 3: Cross multiply
    78,376,035x = 123,575,056.50 × 123,575,056.50
  4. Step 4: Simplify right side
    78,376,035x = 15,270,794,588,978,192
  5. Step 5: Solve for x
    x = 15,270,794,588,978,192/78,376,035
  6. Step 6: Final answer
    x = 194,840,101.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.