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Finding the Third Proportional to 761,979 and 1,628,928

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Solution

The third proportional to 761,979 and 1,628,928 is: 3,482,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,979 : 1,628,928 = 1,628,928 : x
  2. Step 2: Convert to fraction form
    761,979/1,628,928 = 1,628,928/x
  3. Step 3: Cross multiply
    761,979x = 1,628,928 × 1,628,928
  4. Step 4: Simplify right side
    761,979x = 2,653,406,429,184
  5. Step 5: Solve for x
    x = 2,653,406,429,184/761,979
  6. Step 6: Final answer
    x = 3,482,256.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.