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Finding the Third Proportional to 778,428 and 1,684,797

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Solution

The third proportional to 778,428 and 1,684,797 is: 3,646,504.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,428 : 1,684,797 = 1,684,797 : x
  2. Step 2: Convert to fraction form
    778,428/1,684,797 = 1,684,797/x
  3. Step 3: Cross multiply
    778,428x = 1,684,797 × 1,684,797
  4. Step 4: Simplify right side
    778,428x = 2,838,540,931,209
  5. Step 5: Solve for x
    x = 2,838,540,931,209/778,428
  6. Step 6: Final answer
    x = 3,646,504.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.