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Finding the Third Proportional to 279,680,082 and 423,402,291

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Solution

The third proportional to 279,680,082 and 423,402,291 is: 640,980,575.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,680,082 : 423,402,291 = 423,402,291 : x
  2. Step 2: Convert to fraction form
    279,680,082/423,402,291 = 423,402,291/x
  3. Step 3: Cross multiply
    279,680,082x = 423,402,291 × 423,402,291
  4. Step 4: Simplify right side
    279,680,082x = 179,269,500,024,048,672
  5. Step 5: Solve for x
    x = 179,269,500,024,048,672/279,680,082
  6. Step 6: Final answer
    x = 640,980,575.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.