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Finding the Third Proportional to 314,345 and 643,216

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Solution

The third proportional to 314,345 and 643,216 is: 1,316,155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,345 : 643,216 = 643,216 : x
  2. Step 2: Convert to fraction form
    314,345/643,216 = 643,216/x
  3. Step 3: Cross multiply
    314,345x = 643,216 × 643,216
  4. Step 4: Simplify right side
    314,345x = 413,726,822,656
  5. Step 5: Solve for x
    x = 413,726,822,656/314,345
  6. Step 6: Final answer
    x = 1,316,155.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.