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Finding the Third Proportional to 403,140 and 879,960

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Solution

The third proportional to 403,140 and 879,960 is: 1,920,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,140 : 879,960 = 879,960 : x
  2. Step 2: Convert to fraction form
    403,140/879,960 = 879,960/x
  3. Step 3: Cross multiply
    403,140x = 879,960 × 879,960
  4. Step 4: Simplify right side
    403,140x = 774,329,601,600
  5. Step 5: Solve for x
    x = 774,329,601,600/403,140
  6. Step 6: Final answer
    x = 1,920,746.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.