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Finding the Third Proportional to 147,492 and 318,240

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Solution

The third proportional to 147,492 and 318,240 is: 686,658.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,492 : 318,240 = 318,240 : x
  2. Step 2: Convert to fraction form
    147,492/318,240 = 318,240/x
  3. Step 3: Cross multiply
    147,492x = 318,240 × 318,240
  4. Step 4: Simplify right side
    147,492x = 101,276,697,600
  5. Step 5: Solve for x
    x = 101,276,697,600/147,492
  6. Step 6: Final answer
    x = 686,658.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.