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Finding the Third Proportional to 390,628,130 and 834,978,518

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Solution

The third proportional to 390,628,130 and 834,978,518 is: 1,784,789,860.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,628,130 : 834,978,518 = 834,978,518 : x
  2. Step 2: Convert to fraction form
    390,628,130/834,978,518 = 834,978,518/x
  3. Step 3: Cross multiply
    390,628,130x = 834,978,518 × 834,978,518
  4. Step 4: Simplify right side
    390,628,130x = 697,189,125,521,476,352
  5. Step 5: Solve for x
    x = 697,189,125,521,476,352/390,628,130
  6. Step 6: Final answer
    x = 1,784,789,860.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.