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Finding the Third Proportional to 421,569 and 616,572

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Solution

The third proportional to 421,569 and 616,572 is: 901,776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,569 : 616,572 = 616,572 : x
  2. Step 2: Convert to fraction form
    421,569/616,572 = 616,572/x
  3. Step 3: Cross multiply
    421,569x = 616,572 × 616,572
  4. Step 4: Simplify right side
    421,569x = 380,161,031,184
  5. Step 5: Solve for x
    x = 380,161,031,184/421,569
  6. Step 6: Final answer
    x = 901,776.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.