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Finding the Third Proportional to 407,628 and 877,585

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Solution

The third proportional to 407,628 and 877,585 is: 1,889,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,628 : 877,585 = 877,585 : x
  2. Step 2: Convert to fraction form
    407,628/877,585 = 877,585/x
  3. Step 3: Cross multiply
    407,628x = 877,585 × 877,585
  4. Step 4: Simplify right side
    407,628x = 770,155,432,225
  5. Step 5: Solve for x
    x = 770,155,432,225/407,628
  6. Step 6: Final answer
    x = 1,889,358.51

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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.