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Finding the Third Proportional to 35,480 and 77,440

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Solution

The third proportional to 35,480 and 77,440 is: 169,023.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,480 : 77,440 = 77,440 : x
  2. Step 2: Convert to fraction form
    35,480/77,440 = 77,440/x
  3. Step 3: Cross multiply
    35,480x = 77,440 × 77,440
  4. Step 4: Simplify right side
    35,480x = 5,996,953,600
  5. Step 5: Solve for x
    x = 5,996,953,600/35,480
  6. Step 6: Final answer
    x = 169,023.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.