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Finding the Third Proportional to 357,400.50 and 785,877

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Solution

The third proportional to 357,400.50 and 785,877 is: 1,728,040.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,400.50 : 785,877 = 785,877 : x
  2. Step 2: Convert to fraction form
    357,400.50/785,877 = 785,877/x
  3. Step 3: Cross multiply
    357,400.50x = 785,877 × 785,877
  4. Step 4: Simplify right side
    357,400.50x = 617,602,659,129
  5. Step 5: Solve for x
    x = 617,602,659,129/357,400.50
  6. Step 6: Final answer
    x = 1,728,040.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.