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Finding the Third Proportional to 346,315.69 and 518,079.94

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Solution

The third proportional to 346,315.69 and 518,079.94 is: 775,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,315.69 : 518,079.94 = 518,079.94 : x
  2. Step 2: Convert to fraction form
    346,315.69/518,079.94 = 518,079.94/x
  3. Step 3: Cross multiply
    346,315.69x = 518,079.94 × 518,079.94
  4. Step 4: Simplify right side
    346,315.69x = 268,406,821,640.00
  5. Step 5: Solve for x
    x = 268,406,821,640.00/346,315.69
  6. Step 6: Final answer
    x = 775,035.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.