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Finding the Third Proportional to 300,890,445 and 655,197,810

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Solution

The third proportional to 300,890,445 and 655,197,810 is: 1,426,712,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,890,445 : 655,197,810 = 655,197,810 : x
  2. Step 2: Convert to fraction form
    300,890,445/655,197,810 = 655,197,810/x
  3. Step 3: Cross multiply
    300,890,445x = 655,197,810 × 655,197,810
  4. Step 4: Simplify right side
    300,890,445x = 429,284,170,228,796,096
  5. Step 5: Solve for x
    x = 429,284,170,228,796,096/300,890,445
  6. Step 6: Final answer
    x = 1,426,712,537.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.