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Finding the Third Proportional to 357,468 and 785,778

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Solution

The third proportional to 357,468 and 785,778 is: 1,727,279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,468 : 785,778 = 785,778 : x
  2. Step 2: Convert to fraction form
    357,468/785,778 = 785,778/x
  3. Step 3: Cross multiply
    357,468x = 785,778 × 785,778
  4. Step 4: Simplify right side
    357,468x = 617,447,065,284
  5. Step 5: Solve for x
    x = 617,447,065,284/357,468
  6. Step 6: Final answer
    x = 1,727,279.27

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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.