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Finding the Third Proportional to 584,132 and 645,572

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Solution

The third proportional to 584,132 and 645,572 is: 713,474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,132 : 645,572 = 645,572 : x
  2. Step 2: Convert to fraction form
    584,132/645,572 = 645,572/x
  3. Step 3: Cross multiply
    584,132x = 645,572 × 645,572
  4. Step 4: Simplify right side
    584,132x = 416,763,207,184
  5. Step 5: Solve for x
    x = 416,763,207,184/584,132
  6. Step 6: Final answer
    x = 713,474.36

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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.