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Finding the Third Proportional to 531,972 and 778,140

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Solution

The third proportional to 531,972 and 778,140 is: 1,138,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,972 : 778,140 = 778,140 : x
  2. Step 2: Convert to fraction form
    531,972/778,140 = 778,140/x
  3. Step 3: Cross multiply
    531,972x = 778,140 × 778,140
  4. Step 4: Simplify right side
    531,972x = 605,501,859,600
  5. Step 5: Solve for x
    x = 605,501,859,600/531,972
  6. Step 6: Final answer
    x = 1,138,221.30

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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.