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Finding the Third Proportional to 10,521 and 15,860.25

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Solution

The third proportional to 10,521 and 15,860.25 is: 23,909.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521 : 15,860.25 = 15,860.25 : x
  2. Step 2: Convert to fraction form
    10,521/15,860.25 = 15,860.25/x
  3. Step 3: Cross multiply
    10,521x = 15,860.25 × 15,860.25
  4. Step 4: Simplify right side
    10,521x = 251,547,530.06
  5. Step 5: Solve for x
    x = 251,547,530.06/10,521
  6. Step 6: Final answer
    x = 23,909.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.