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Finding the Third Proportional to 399,316 and 872,320

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Solution

The third proportional to 399,316 and 872,320 is: 1,905,614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,316 : 872,320 = 872,320 : x
  2. Step 2: Convert to fraction form
    399,316/872,320 = 872,320/x
  3. Step 3: Cross multiply
    399,316x = 872,320 × 872,320
  4. Step 4: Simplify right side
    399,316x = 760,942,182,400
  5. Step 5: Solve for x
    x = 760,942,182,400/399,316
  6. Step 6: Final answer
    x = 1,905,614.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.