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Finding the Third Proportional to 564,786 and 860,422.50

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Solution

The third proportional to 564,786 and 860,422.50 is: 1,310,809.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,786 : 860,422.50 = 860,422.50 : x
  2. Step 2: Convert to fraction form
    564,786/860,422.50 = 860,422.50/x
  3. Step 3: Cross multiply
    564,786x = 860,422.50 × 860,422.50
  4. Step 4: Simplify right side
    564,786x = 740,326,878,506.25
  5. Step 5: Solve for x
    x = 740,326,878,506.25/564,786
  6. Step 6: Final answer
    x = 1,310,809.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.