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Finding the Third Proportional to 390,498,102 and 856,019,052

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Solution

The third proportional to 390,498,102 and 856,019,052 is: 1,876,497,257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,498,102 : 856,019,052 = 856,019,052 : x
  2. Step 2: Convert to fraction form
    390,498,102/856,019,052 = 856,019,052/x
  3. Step 3: Cross multiply
    390,498,102x = 856,019,052 × 856,019,052
  4. Step 4: Simplify right side
    390,498,102x = 732,768,617,386,978,688
  5. Step 5: Solve for x
    x = 732,768,617,386,978,688/390,498,102
  6. Step 6: Final answer
    x = 1,876,497,257.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.