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Finding the Third Proportional to 526,912 and 781,220

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Solution

The third proportional to 526,912 and 781,220 is: 1,158,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,912 : 781,220 = 781,220 : x
  2. Step 2: Convert to fraction form
    526,912/781,220 = 781,220/x
  3. Step 3: Cross multiply
    526,912x = 781,220 × 781,220
  4. Step 4: Simplify right side
    526,912x = 610,304,688,400
  5. Step 5: Solve for x
    x = 610,304,688,400/526,912
  6. Step 6: Final answer
    x = 1,158,266.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.