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Finding the Third Proportional to 119,724 and 178,547

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Solution

The third proportional to 119,724 and 178,547 is: 266,271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,724 : 178,547 = 178,547 : x
  2. Step 2: Convert to fraction form
    119,724/178,547 = 178,547/x
  3. Step 3: Cross multiply
    119,724x = 178,547 × 178,547
  4. Step 4: Simplify right side
    119,724x = 31,879,031,209
  5. Step 5: Solve for x
    x = 31,879,031,209/119,724
  6. Step 6: Final answer
    x = 266,271.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.