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Finding the Third Proportional to 258,695,722 and 387,948,587

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Solution

The third proportional to 258,695,722 and 387,948,587 is: 581,780,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,695,722 : 387,948,587 = 387,948,587 : x
  2. Step 2: Convert to fraction form
    258,695,722/387,948,587 = 387,948,587/x
  3. Step 3: Cross multiply
    258,695,722x = 387,948,587 × 387,948,587
  4. Step 4: Simplify right side
    258,695,722x = 150,504,106,155,296,576
  5. Step 5: Solve for x
    x = 150,504,106,155,296,576/258,695,722
  6. Step 6: Final answer
    x = 581,780,421.38

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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.