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Finding the Third Proportional to 292,421,829 and 642,230,889

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Solution

The third proportional to 292,421,829 and 642,230,889 is: 1,410,498,375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,421,829 : 642,230,889 = 642,230,889 : x
  2. Step 2: Convert to fraction form
    292,421,829/642,230,889 = 642,230,889/x
  3. Step 3: Cross multiply
    292,421,829x = 642,230,889 × 642,230,889
  4. Step 4: Simplify right side
    292,421,829x = 412,460,514,785,730,304
  5. Step 5: Solve for x
    x = 412,460,514,785,730,304/292,421,829
  6. Step 6: Final answer
    x = 1,410,498,375.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.