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Finding the Third Proportional to 390,199,800 and 531,476,010

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Solution

The third proportional to 390,199,800 and 531,476,010 is: 723,902,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,199,800 : 531,476,010 = 531,476,010 : x
  2. Step 2: Convert to fraction form
    390,199,800/531,476,010 = 531,476,010/x
  3. Step 3: Cross multiply
    390,199,800x = 531,476,010 × 531,476,010
  4. Step 4: Simplify right side
    390,199,800x = 282,466,749,205,520,096
  5. Step 5: Solve for x
    x = 282,466,749,205,520,096/390,199,800
  6. Step 6: Final answer
    x = 723,902,854.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.