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Finding the Third Proportional to 583,998 and 645,438

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Solution

The third proportional to 583,998 and 645,438 is: 713,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,998 : 645,438 = 645,438 : x
  2. Step 2: Convert to fraction form
    583,998/645,438 = 645,438/x
  3. Step 3: Cross multiply
    583,998x = 645,438 × 645,438
  4. Step 4: Simplify right side
    583,998x = 416,590,211,844
  5. Step 5: Solve for x
    x = 416,590,211,844/583,998
  6. Step 6: Final answer
    x = 713,341.85

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.