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Finding the Third Proportional to 910,407 and 1,414,510.50

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Solution

The third proportional to 910,407 and 1,414,510.50 is: 2,197,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,407 : 1,414,510.50 = 1,414,510.50 : x
  2. Step 2: Convert to fraction form
    910,407/1,414,510.50 = 1,414,510.50/x
  3. Step 3: Cross multiply
    910,407x = 1,414,510.50 × 1,414,510.50
  4. Step 4: Simplify right side
    910,407x = 2,000,839,954,610.25
  5. Step 5: Solve for x
    x = 2,000,839,954,610.25/910,407
  6. Step 6: Final answer
    x = 2,197,742.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.