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Finding the Third Proportional to 303,905 and 652,117

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Solution

The third proportional to 303,905 and 652,117 is: 1,399,307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,905 : 652,117 = 652,117 : x
  2. Step 2: Convert to fraction form
    303,905/652,117 = 652,117/x
  3. Step 3: Cross multiply
    303,905x = 652,117 × 652,117
  4. Step 4: Simplify right side
    303,905x = 425,256,581,689
  5. Step 5: Solve for x
    x = 425,256,581,689/303,905
  6. Step 6: Final answer
    x = 1,399,307.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.