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Finding the Third Proportional to 359,050 and 531,639

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Solution

The third proportional to 359,050 and 531,639 is: 787,188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,050 : 531,639 = 531,639 : x
  2. Step 2: Convert to fraction form
    359,050/531,639 = 531,639/x
  3. Step 3: Cross multiply
    359,050x = 531,639 × 531,639
  4. Step 4: Simplify right side
    359,050x = 282,640,026,321
  5. Step 5: Solve for x
    x = 282,640,026,321/359,050
  6. Step 6: Final answer
    x = 787,188.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.