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Finding the Third Proportional to 357,172 and 785,768

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Solution

The third proportional to 357,172 and 785,768 is: 1,728,666.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,172 : 785,768 = 785,768 : x
  2. Step 2: Convert to fraction form
    357,172/785,768 = 785,768/x
  3. Step 3: Cross multiply
    357,172x = 785,768 × 785,768
  4. Step 4: Simplify right side
    357,172x = 617,431,349,824
  5. Step 5: Solve for x
    x = 617,431,349,824/357,172
  6. Step 6: Final answer
    x = 1,728,666.72

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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.