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Finding the Third Proportional to 390,315,930 and 520,350,531

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Solution

The third proportional to 390,315,930 and 520,350,531 is: 693,706,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,315,930 : 520,350,531 = 520,350,531 : x
  2. Step 2: Convert to fraction form
    390,315,930/520,350,531 = 520,350,531/x
  3. Step 3: Cross multiply
    390,315,930x = 520,350,531 × 520,350,531
  4. Step 4: Simplify right side
    390,315,930x = 270,764,675,111,981,952
  5. Step 5: Solve for x
    x = 270,764,675,111,981,952/390,315,930
  6. Step 6: Final answer
    x = 693,706,442.14

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.