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Finding the Third Proportional to 130,996,384 and 196,590,482

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Solution

The third proportional to 130,996,384 and 196,590,482 is: 295,029,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,996,384 : 196,590,482 = 196,590,482 : x
  2. Step 2: Convert to fraction form
    130,996,384/196,590,482 = 196,590,482/x
  3. Step 3: Cross multiply
    130,996,384x = 196,590,482 × 196,590,482
  4. Step 4: Simplify right side
    130,996,384x = 38,647,817,612,992,320
  5. Step 5: Solve for x
    x = 38,647,817,612,992,320/130,996,384
  6. Step 6: Final answer
    x = 295,029,652.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.