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Finding the Third Proportional to 321,941,780 and 698,326,680

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Solution

The third proportional to 321,941,780 and 698,326,680 is: 1,514,746,399.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,941,780 : 698,326,680 = 698,326,680 : x
  2. Step 2: Convert to fraction form
    321,941,780/698,326,680 = 698,326,680/x
  3. Step 3: Cross multiply
    321,941,780x = 698,326,680 × 698,326,680
  4. Step 4: Simplify right side
    321,941,780x = 487,660,151,999,822,400
  5. Step 5: Solve for x
    x = 487,660,151,999,822,400/321,941,780
  6. Step 6: Final answer
    x = 1,514,746,399.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.