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Finding the Third Proportional to 387,210 and 598,152

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Solution

The third proportional to 387,210 and 598,152 is: 924,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,210 : 598,152 = 598,152 : x
  2. Step 2: Convert to fraction form
    387,210/598,152 = 598,152/x
  3. Step 3: Cross multiply
    387,210x = 598,152 × 598,152
  4. Step 4: Simplify right side
    387,210x = 357,785,815,104
  5. Step 5: Solve for x
    x = 357,785,815,104/387,210
  6. Step 6: Final answer
    x = 924,009.75

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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.