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Finding the Third Proportional to 359,154 and 785,619

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Solution

The third proportional to 359,154 and 785,619 is: 1,718,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,154 : 785,619 = 785,619 : x
  2. Step 2: Convert to fraction form
    359,154/785,619 = 785,619/x
  3. Step 3: Cross multiply
    359,154x = 785,619 × 785,619
  4. Step 4: Simplify right side
    359,154x = 617,197,213,161
  5. Step 5: Solve for x
    x = 617,197,213,161/359,154
  6. Step 6: Final answer
    x = 1,718,475.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.