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Finding the Third Proportional to 509,940 and 750,147

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Solution

The third proportional to 509,940 and 750,147 is: 1,103,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,940 : 750,147 = 750,147 : x
  2. Step 2: Convert to fraction form
    509,940/750,147 = 750,147/x
  3. Step 3: Cross multiply
    509,940x = 750,147 × 750,147
  4. Step 4: Simplify right side
    509,940x = 562,720,521,609
  5. Step 5: Solve for x
    x = 562,720,521,609/509,940
  6. Step 6: Final answer
    x = 1,103,503.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.