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Finding the Third Proportional to 316,522.69 and 655,211.53

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Solution

The third proportional to 316,522.69 and 655,211.53 is: 1,356,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,522.69 : 655,211.53 = 655,211.53 : x
  2. Step 2: Convert to fraction form
    316,522.69/655,211.53 = 655,211.53/x
  3. Step 3: Cross multiply
    316,522.69x = 655,211.53 × 655,211.53
  4. Step 4: Simplify right side
    316,522.69x = 429,302,150,682.97
  5. Step 5: Solve for x
    x = 429,302,150,682.97/316,522.69
  6. Step 6: Final answer
    x = 1,356,307.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.