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Finding the Third Proportional to 310,402 and 670,308

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Solution

The third proportional to 310,402 and 670,308 is: 1,447,519.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,402 : 670,308 = 670,308 : x
  2. Step 2: Convert to fraction form
    310,402/670,308 = 670,308/x
  3. Step 3: Cross multiply
    310,402x = 670,308 × 670,308
  4. Step 4: Simplify right side
    310,402x = 449,312,814,864
  5. Step 5: Solve for x
    x = 449,312,814,864/310,402
  6. Step 6: Final answer
    x = 1,447,519.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.