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Finding the Third Proportional to 636,000 and 860,688

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Solution

The third proportional to 636,000 and 860,688 is: 1,164,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,000 : 860,688 = 860,688 : x
  2. Step 2: Convert to fraction form
    636,000/860,688 = 860,688/x
  3. Step 3: Cross multiply
    636,000x = 860,688 × 860,688
  4. Step 4: Simplify right side
    636,000x = 740,783,833,344
  5. Step 5: Solve for x
    x = 740,783,833,344/636,000
  6. Step 6: Final answer
    x = 1,164,754.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.