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Finding the Third Proportional to 128,547 and 263,358

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Solution

The third proportional to 128,547 and 263,358 is: 539,549.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,547 : 263,358 = 263,358 : x
  2. Step 2: Convert to fraction form
    128,547/263,358 = 263,358/x
  3. Step 3: Cross multiply
    128,547x = 263,358 × 263,358
  4. Step 4: Simplify right side
    128,547x = 69,357,436,164
  5. Step 5: Solve for x
    x = 69,357,436,164/128,547
  6. Step 6: Final answer
    x = 539,549.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.