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Finding the Third Proportional to 145,416 and 213,330

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Solution

The third proportional to 145,416 and 213,330 is: 312,962.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,416 : 213,330 = 213,330 : x
  2. Step 2: Convert to fraction form
    145,416/213,330 = 213,330/x
  3. Step 3: Cross multiply
    145,416x = 213,330 × 213,330
  4. Step 4: Simplify right side
    145,416x = 45,509,688,900
  5. Step 5: Solve for x
    x = 45,509,688,900/145,416
  6. Step 6: Final answer
    x = 312,962.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.