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Finding the Third Proportional to 30,154 and 64,316

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Solution

The third proportional to 30,154 and 64,316 is: 137,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,154 : 64,316 = 64,316 : x
  2. Step 2: Convert to fraction form
    30,154/64,316 = 64,316/x
  3. Step 3: Cross multiply
    30,154x = 64,316 × 64,316
  4. Step 4: Simplify right side
    30,154x = 4,136,547,856
  5. Step 5: Solve for x
    x = 4,136,547,856/30,154
  6. Step 6: Final answer
    x = 137,180.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.