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Finding the Third Proportional to 509,343.19 and 689,280.89

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Solution

The third proportional to 509,343.19 and 689,280.89 is: 932,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,343.19 : 689,280.89 = 689,280.89 : x
  2. Step 2: Convert to fraction form
    509,343.19/689,280.89 = 689,280.89/x
  3. Step 3: Cross multiply
    509,343.19x = 689,280.89 × 689,280.89
  4. Step 4: Simplify right side
    509,343.19x = 475,108,146,180.79
  5. Step 5: Solve for x
    x = 475,108,146,180.79/509,343.19
  6. Step 6: Final answer
    x = 932,785.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.