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Finding the Third Proportional to 558,312.75 and 680,784.75

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Solution

The third proportional to 558,312.75 and 680,784.75 is: 830,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,312.75 : 680,784.75 = 680,784.75 : x
  2. Step 2: Convert to fraction form
    558,312.75/680,784.75 = 680,784.75/x
  3. Step 3: Cross multiply
    558,312.75x = 680,784.75 × 680,784.75
  4. Step 4: Simplify right side
    558,312.75x = 463,467,875,832.56
  5. Step 5: Solve for x
    x = 463,467,875,832.56/558,312.75
  6. Step 6: Final answer
    x = 830,122.32

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.