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Finding the Third Proportional to 507,210 and 808,796

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Solution

The third proportional to 507,210 and 808,796 is: 1,289,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,210 : 808,796 = 808,796 : x
  2. Step 2: Convert to fraction form
    507,210/808,796 = 808,796/x
  3. Step 3: Cross multiply
    507,210x = 808,796 × 808,796
  4. Step 4: Simplify right side
    507,210x = 654,150,969,616
  5. Step 5: Solve for x
    x = 654,150,969,616/507,210
  6. Step 6: Final answer
    x = 1,289,704.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.