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Finding the Third Proportional to 358,803 and 754,781

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Solution

The third proportional to 358,803 and 754,781 is: 1,587,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,803 : 754,781 = 754,781 : x
  2. Step 2: Convert to fraction form
    358,803/754,781 = 754,781/x
  3. Step 3: Cross multiply
    358,803x = 754,781 × 754,781
  4. Step 4: Simplify right side
    358,803x = 569,694,357,961
  5. Step 5: Solve for x
    x = 569,694,357,961/358,803
  6. Step 6: Final answer
    x = 1,587,763.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.