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Finding the Third Proportional to 130,996,386 and 196,590,484

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Solution

The third proportional to 130,996,386 and 196,590,484 is: 295,029,653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,996,386 : 196,590,484 = 196,590,484 : x
  2. Step 2: Convert to fraction form
    130,996,386/196,590,484 = 196,590,484/x
  3. Step 3: Cross multiply
    130,996,386x = 196,590,484 × 196,590,484
  4. Step 4: Simplify right side
    130,996,386x = 38,647,818,399,354,256
  5. Step 5: Solve for x
    x = 38,647,818,399,354,256/130,996,386
  6. Step 6: Final answer
    x = 295,029,653.71

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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.