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Finding the Third Proportional to 531,974 and 778,143

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Solution

The third proportional to 531,974 and 778,143 is: 1,138,225.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,974 : 778,143 = 778,143 : x
  2. Step 2: Convert to fraction form
    531,974/778,143 = 778,143/x
  3. Step 3: Cross multiply
    531,974x = 778,143 × 778,143
  4. Step 4: Simplify right side
    531,974x = 605,506,528,449
  5. Step 5: Solve for x
    x = 605,506,528,449/531,974
  6. Step 6: Final answer
    x = 1,138,225.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.