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Finding the Third Proportional to 390,327,422.06 and 851,854,436.44

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Solution

The third proportional to 390,327,422.06 and 851,854,436.44 is: 1,859,095,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,327,422.06 : 851,854,436.44 = 851,854,436.44 : x
  2. Step 2: Convert to fraction form
    390,327,422.06/851,854,436.44 = 851,854,436.44/x
  3. Step 3: Cross multiply
    390,327,422.06x = 851,854,436.44 × 851,854,436.44
  4. Step 4: Simplify right side
    390,327,422.06x = 725,655,980,878,250,752
  5. Step 5: Solve for x
    x = 725,655,980,878,250,752/390,327,422.06
  6. Step 6: Final answer
    x = 1,859,095,569.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.