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Finding the Third Proportional to 407,106 and 562,545

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Solution

The third proportional to 407,106 and 562,545 is: 777,332.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,106 : 562,545 = 562,545 : x
  2. Step 2: Convert to fraction form
    407,106/562,545 = 562,545/x
  3. Step 3: Cross multiply
    407,106x = 562,545 × 562,545
  4. Step 4: Simplify right side
    407,106x = 316,456,877,025
  5. Step 5: Solve for x
    x = 316,456,877,025/407,106
  6. Step 6: Final answer
    x = 777,332.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.