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Finding the Third Proportional to 145,216 and 318,376

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Solution

The third proportional to 145,216 and 318,376 is: 698,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,216 : 318,376 = 318,376 : x
  2. Step 2: Convert to fraction form
    145,216/318,376 = 318,376/x
  3. Step 3: Cross multiply
    145,216x = 318,376 × 318,376
  4. Step 4: Simplify right side
    145,216x = 101,363,277,376
  5. Step 5: Solve for x
    x = 101,363,277,376/145,216
  6. Step 6: Final answer
    x = 698,017.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.