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Finding the Third Proportional to 45,428 and 99,280

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Solution

The third proportional to 45,428 and 99,280 is: 216,970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,428 : 99,280 = 99,280 : x
  2. Step 2: Convert to fraction form
    45,428/99,280 = 99,280/x
  3. Step 3: Cross multiply
    45,428x = 99,280 × 99,280
  4. Step 4: Simplify right side
    45,428x = 9,856,518,400
  5. Step 5: Solve for x
    x = 9,856,518,400/45,428
  6. Step 6: Final answer
    x = 216,970.12

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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.