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Finding the Third Proportional to 310,216 and 497,716

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Solution

The third proportional to 310,216 and 497,716 is: 798,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,216 : 497,716 = 497,716 : x
  2. Step 2: Convert to fraction form
    310,216/497,716 = 497,716/x
  3. Step 3: Cross multiply
    310,216x = 497,716 × 497,716
  4. Step 4: Simplify right side
    310,216x = 247,721,216,656
  5. Step 5: Solve for x
    x = 247,721,216,656/310,216
  6. Step 6: Final answer
    x = 798,544.29

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.