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Finding the Third Proportional to 390,057,918 and 812,400,813

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Solution

The third proportional to 390,057,918 and 812,400,813 is: 1,692,043,797.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,057,918 : 812,400,813 = 812,400,813 : x
  2. Step 2: Convert to fraction form
    390,057,918/812,400,813 = 812,400,813/x
  3. Step 3: Cross multiply
    390,057,918x = 812,400,813 × 812,400,813
  4. Step 4: Simplify right side
    390,057,918x = 659,995,080,963,060,992
  5. Step 5: Solve for x
    x = 659,995,080,963,060,992/390,057,918
  6. Step 6: Final answer
    x = 1,692,043,797.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.