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Finding the Third Proportional to 915,792 and 1,346,247

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Solution

The third proportional to 915,792 and 1,346,247 is: 1,979,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,792 : 1,346,247 = 1,346,247 : x
  2. Step 2: Convert to fraction form
    915,792/1,346,247 = 1,346,247/x
  3. Step 3: Cross multiply
    915,792x = 1,346,247 × 1,346,247
  4. Step 4: Simplify right side
    915,792x = 1,812,380,985,009
  5. Step 5: Solve for x
    x = 1,812,380,985,009/915,792
  6. Step 6: Final answer
    x = 1,979,031.25

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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.