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Finding the Third Proportional to 212,797,308 and 458,421,432

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Solution

The third proportional to 212,797,308 and 458,421,432 is: 987,560,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,797,308 : 458,421,432 = 458,421,432 : x
  2. Step 2: Convert to fraction form
    212,797,308/458,421,432 = 458,421,432/x
  3. Step 3: Cross multiply
    212,797,308x = 458,421,432 × 458,421,432
  4. Step 4: Simplify right side
    212,797,308x = 210,150,209,316,930,624
  5. Step 5: Solve for x
    x = 210,150,209,316,930,624/212,797,308
  6. Step 6: Final answer
    x = 987,560,469.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.