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Finding the Third Proportional to 364,321,755 and 559,638,112.50

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Solution

The third proportional to 364,321,755 and 559,638,112.50 is: 859,665,426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,321,755 : 559,638,112.50 = 559,638,112.50 : x
  2. Step 2: Convert to fraction form
    364,321,755/559,638,112.50 = 559,638,112.50/x
  3. Step 3: Cross multiply
    364,321,755x = 559,638,112.50 × 559,638,112.50
  4. Step 4: Simplify right side
    364,321,755x = 313,194,816,962,562,688
  5. Step 5: Solve for x
    x = 313,194,816,962,562,688/364,321,755
  6. Step 6: Final answer
    x = 859,665,426.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.