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Finding the Third Proportional to 558,697.50 and 864,923.63

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Solution

The third proportional to 558,697.50 and 864,923.63 is: 1,338,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,697.50 : 864,923.63 = 864,923.63 : x
  2. Step 2: Convert to fraction form
    558,697.50/864,923.63 = 864,923.63/x
  3. Step 3: Cross multiply
    558,697.50x = 864,923.63 × 864,923.63
  4. Step 4: Simplify right side
    558,697.50x = 748,092,877,083.14
  5. Step 5: Solve for x
    x = 748,092,877,083.14/558,697.50
  6. Step 6: Final answer
    x = 1,338,994.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.