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Finding the Third Proportional to 128,547 and 266,814

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Solution

The third proportional to 128,547 and 266,814 is: 553,802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,547 : 266,814 = 266,814 : x
  2. Step 2: Convert to fraction form
    128,547/266,814 = 266,814/x
  3. Step 3: Cross multiply
    128,547x = 266,814 × 266,814
  4. Step 4: Simplify right side
    128,547x = 71,189,710,596
  5. Step 5: Solve for x
    x = 71,189,710,596/128,547
  6. Step 6: Final answer
    x = 553,802.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.