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Finding the Third Proportional to 315,090 and 484,316

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Solution

The third proportional to 315,090 and 484,316 is: 744,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,090 : 484,316 = 484,316 : x
  2. Step 2: Convert to fraction form
    315,090/484,316 = 484,316/x
  3. Step 3: Cross multiply
    315,090x = 484,316 × 484,316
  4. Step 4: Simplify right side
    315,090x = 234,561,987,856
  5. Step 5: Solve for x
    x = 234,561,987,856/315,090
  6. Step 6: Final answer
    x = 744,428.54

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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.