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Finding the Third Proportional to 724,365 and 1,153,039.50

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Solution

The third proportional to 724,365 and 1,153,039.50 is: 1,835,400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,365 : 1,153,039.50 = 1,153,039.50 : x
  2. Step 2: Convert to fraction form
    724,365/1,153,039.50 = 1,153,039.50/x
  3. Step 3: Cross multiply
    724,365x = 1,153,039.50 × 1,153,039.50
  4. Step 4: Simplify right side
    724,365x = 1,329,500,088,560.25
  5. Step 5: Solve for x
    x = 1,329,500,088,560.25/724,365
  6. Step 6: Final answer
    x = 1,835,400.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.