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Finding the Third Proportional to 310,211 and 497,711

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Solution

The third proportional to 310,211 and 497,711 is: 798,541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,211 : 497,711 = 497,711 : x
  2. Step 2: Convert to fraction form
    310,211/497,711 = 497,711/x
  3. Step 3: Cross multiply
    310,211x = 497,711 × 497,711
  4. Step 4: Simplify right side
    310,211x = 247,716,239,521
  5. Step 5: Solve for x
    x = 247,716,239,521/310,211
  6. Step 6: Final answer
    x = 798,541.12

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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.