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Finding the Third Proportional to 172,700 and 266,432.50

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Solution

The third proportional to 172,700 and 266,432.50 is: 411,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,700 : 266,432.50 = 266,432.50 : x
  2. Step 2: Convert to fraction form
    172,700/266,432.50 = 266,432.50/x
  3. Step 3: Cross multiply
    172,700x = 266,432.50 × 266,432.50
  4. Step 4: Simplify right side
    172,700x = 70,986,277,056.25
  5. Step 5: Solve for x
    x = 70,986,277,056.25/172,700
  6. Step 6: Final answer
    x = 411,038.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.