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Finding the Third Proportional to 978.19 and 1,461.66

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Solution

The third proportional to 978.19 and 1,461.66 is: 2,184.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.19 : 1,461.66 = 1,461.66 : x
  2. Step 2: Convert to fraction form
    978.19/1,461.66 = 1,461.66/x
  3. Step 3: Cross multiply
    978.19x = 1,461.66 × 1,461.66
  4. Step 4: Simplify right side
    978.19x = 2,136,438.99
  5. Step 5: Solve for x
    x = 2,136,438.99/978.19
  6. Step 6: Final answer
    x = 2,184.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.