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Finding the Third Proportional to 147,387 and 315,492

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Solution

The third proportional to 147,387 and 315,492 is: 675,332.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,387 : 315,492 = 315,492 : x
  2. Step 2: Convert to fraction form
    147,387/315,492 = 315,492/x
  3. Step 3: Cross multiply
    147,387x = 315,492 × 315,492
  4. Step 4: Simplify right side
    147,387x = 99,535,202,064
  5. Step 5: Solve for x
    x = 99,535,202,064/147,387
  6. Step 6: Final answer
    x = 675,332.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.