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Finding the Third Proportional to 486,356 and 727,590

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Solution

The third proportional to 486,356 and 727,590 is: 1,088,476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,356 : 727,590 = 727,590 : x
  2. Step 2: Convert to fraction form
    486,356/727,590 = 727,590/x
  3. Step 3: Cross multiply
    486,356x = 727,590 × 727,590
  4. Step 4: Simplify right side
    486,356x = 529,387,208,100
  5. Step 5: Solve for x
    x = 529,387,208,100/486,356
  6. Step 6: Final answer
    x = 1,088,476.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.