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Finding the Third Proportional to 780,890 and 1,711,347

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Solution

The third proportional to 780,890 and 1,711,347 is: 3,750,475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,890 : 1,711,347 = 1,711,347 : x
  2. Step 2: Convert to fraction form
    780,890/1,711,347 = 1,711,347/x
  3. Step 3: Cross multiply
    780,890x = 1,711,347 × 1,711,347
  4. Step 4: Simplify right side
    780,890x = 2,928,708,554,409
  5. Step 5: Solve for x
    x = 2,928,708,554,409/780,890
  6. Step 6: Final answer
    x = 3,750,475.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.