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Finding the Third Proportional to 359,370 and 556,368

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Solution

The third proportional to 359,370 and 556,368 is: 861,355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,370 : 556,368 = 556,368 : x
  2. Step 2: Convert to fraction form
    359,370/556,368 = 556,368/x
  3. Step 3: Cross multiply
    359,370x = 556,368 × 556,368
  4. Step 4: Simplify right side
    359,370x = 309,545,351,424
  5. Step 5: Solve for x
    x = 309,545,351,424/359,370
  6. Step 6: Final answer
    x = 861,355.57

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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.