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Finding the Third Proportional to 315,088 and 484,312

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Solution

The third proportional to 315,088 and 484,312 is: 744,420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,088 : 484,312 = 484,312 : x
  2. Step 2: Convert to fraction form
    315,088/484,312 = 484,312/x
  3. Step 3: Cross multiply
    315,088x = 484,312 × 484,312
  4. Step 4: Simplify right side
    315,088x = 234,558,113,344
  5. Step 5: Solve for x
    x = 234,558,113,344/315,088
  6. Step 6: Final answer
    x = 744,420.97

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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.