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Finding the Third Proportional to 677,428 and 1,039,566

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Solution

The third proportional to 677,428 and 1,039,566 is: 1,595,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,428 : 1,039,566 = 1,039,566 : x
  2. Step 2: Convert to fraction form
    677,428/1,039,566 = 1,039,566/x
  3. Step 3: Cross multiply
    677,428x = 1,039,566 × 1,039,566
  4. Step 4: Simplify right side
    677,428x = 1,080,697,468,356
  5. Step 5: Solve for x
    x = 1,080,697,468,356/677,428
  6. Step 6: Final answer
    x = 1,595,294.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.