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Finding the Third Proportional to 359,106 and 556,803

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Solution

The third proportional to 359,106 and 556,803 is: 863,337.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,106 : 556,803 = 556,803 : x
  2. Step 2: Convert to fraction form
    359,106/556,803 = 556,803/x
  3. Step 3: Cross multiply
    359,106x = 556,803 × 556,803
  4. Step 4: Simplify right side
    359,106x = 310,029,580,809
  5. Step 5: Solve for x
    x = 310,029,580,809/359,106
  6. Step 6: Final answer
    x = 863,337.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.