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Finding the Third Proportional to 346,321,185 and 519,937,726.50

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Solution

The third proportional to 346,321,185 and 519,937,726.50 is: 780,591,113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,321,185 : 519,937,726.50 = 519,937,726.50 : x
  2. Step 2: Convert to fraction form
    346,321,185/519,937,726.50 = 519,937,726.50/x
  3. Step 3: Cross multiply
    346,321,185x = 519,937,726.50 × 519,937,726.50
  4. Step 4: Simplify right side
    346,321,185x = 270,335,239,437,988,800
  5. Step 5: Solve for x
    x = 270,335,239,437,988,800/346,321,185
  6. Step 6: Final answer
    x = 780,591,113.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.