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Finding the Third Proportional to 611,840 and 860,070

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Solution

The third proportional to 611,840 and 860,070 is: 1,209,009.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,840 : 860,070 = 860,070 : x
  2. Step 2: Convert to fraction form
    611,840/860,070 = 860,070/x
  3. Step 3: Cross multiply
    611,840x = 860,070 × 860,070
  4. Step 4: Simplify right side
    611,840x = 739,720,404,900
  5. Step 5: Solve for x
    x = 739,720,404,900/611,840
  6. Step 6: Final answer
    x = 1,209,009.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.