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Finding the Third Proportional to 878,730 and 1,406,539.50

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Solution

The third proportional to 878,730 and 1,406,539.50 is: 2,251,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,730 : 1,406,539.50 = 1,406,539.50 : x
  2. Step 2: Convert to fraction form
    878,730/1,406,539.50 = 1,406,539.50/x
  3. Step 3: Cross multiply
    878,730x = 1,406,539.50 × 1,406,539.50
  4. Step 4: Simplify right side
    878,730x = 1,978,353,365,060.25
  5. Step 5: Solve for x
    x = 1,978,353,365,060.25/878,730
  6. Step 6: Final answer
    x = 2,251,377.97

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.