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Finding the Third Proportional to 309,916.13 and 463,051.69

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Solution

The third proportional to 309,916.13 and 463,051.69 is: 691,854.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,916.13 : 463,051.69 = 463,051.69 : x
  2. Step 2: Convert to fraction form
    309,916.13/463,051.69 = 463,051.69/x
  3. Step 3: Cross multiply
    309,916.13x = 463,051.69 × 463,051.69
  4. Step 4: Simplify right side
    309,916.13x = 214,416,865,296.60
  5. Step 5: Solve for x
    x = 214,416,865,296.60/309,916.13
  6. Step 6: Final answer
    x = 691,854.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.