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Finding the Third Proportional to 279,663,780 and 423,381,654

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Solution

The third proportional to 279,663,780 and 423,381,654 is: 640,955,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,663,780 : 423,381,654 = 423,381,654 : x
  2. Step 2: Convert to fraction form
    279,663,780/423,381,654 = 423,381,654/x
  3. Step 3: Cross multiply
    279,663,780x = 423,381,654 × 423,381,654
  4. Step 4: Simplify right side
    279,663,780x = 179,252,024,943,775,712
  5. Step 5: Solve for x
    x = 179,252,024,943,775,712/279,663,780
  6. Step 6: Final answer
    x = 640,955,453.52

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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.