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Finding the Third Proportional to 310,263 and 497,788.50

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Solution

The third proportional to 310,263 and 497,788.50 is: 798,655.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,263 : 497,788.50 = 497,788.50 : x
  2. Step 2: Convert to fraction form
    310,263/497,788.50 = 497,788.50/x
  3. Step 3: Cross multiply
    310,263x = 497,788.50 × 497,788.50
  4. Step 4: Simplify right side
    310,263x = 247,793,390,732.25
  5. Step 5: Solve for x
    x = 247,793,390,732.25/310,263
  6. Step 6: Final answer
    x = 798,655.95

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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.