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Finding the Third Proportional to 345,416 and 526,480

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Solution

The third proportional to 345,416 and 526,480 is: 802,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,416 : 526,480 = 526,480 : x
  2. Step 2: Convert to fraction form
    345,416/526,480 = 526,480/x
  3. Step 3: Cross multiply
    345,416x = 526,480 × 526,480
  4. Step 4: Simplify right side
    345,416x = 277,181,190,400
  5. Step 5: Solve for x
    x = 277,181,190,400/345,416
  6. Step 6: Final answer
    x = 802,456.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.