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Finding the Third Proportional to 298,508,080 and 645,911,644

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Solution

The third proportional to 298,508,080 and 645,911,644 is: 1,397,623,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,508,080 : 645,911,644 = 645,911,644 : x
  2. Step 2: Convert to fraction form
    298,508,080/645,911,644 = 645,911,644/x
  3. Step 3: Cross multiply
    298,508,080x = 645,911,644 × 645,911,644
  4. Step 4: Simplify right side
    298,508,080x = 417,201,851,854,782,720
  5. Step 5: Solve for x
    x = 417,201,851,854,782,720/298,508,080
  6. Step 6: Final answer
    x = 1,397,623,313.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.