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Finding the Third Proportional to 402,318 and 607,579

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Solution

The third proportional to 402,318 and 607,579 is: 917,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,318 : 607,579 = 607,579 : x
  2. Step 2: Convert to fraction form
    402,318/607,579 = 607,579/x
  3. Step 3: Cross multiply
    402,318x = 607,579 × 607,579
  4. Step 4: Simplify right side
    402,318x = 369,152,241,241
  5. Step 5: Solve for x
    x = 369,152,241,241/402,318
  6. Step 6: Final answer
    x = 917,563.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.