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Finding the Third Proportional to 15,465 and 31,479

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Solution

The third proportional to 15,465 and 31,479 is: 64,075.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,465 : 31,479 = 31,479 : x
  2. Step 2: Convert to fraction form
    15,465/31,479 = 31,479/x
  3. Step 3: Cross multiply
    15,465x = 31,479 × 31,479
  4. Step 4: Simplify right side
    15,465x = 990,927,441
  5. Step 5: Solve for x
    x = 990,927,441/15,465
  6. Step 6: Final answer
    x = 64,075.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.