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Finding the Third Proportional to 421,574 and 616,587

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Solution

The third proportional to 421,574 and 616,587 is: 901,809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,574 : 616,587 = 616,587 : x
  2. Step 2: Convert to fraction form
    421,574/616,587 = 616,587/x
  3. Step 3: Cross multiply
    421,574x = 616,587 × 616,587
  4. Step 4: Simplify right side
    421,574x = 380,179,528,569
  5. Step 5: Solve for x
    x = 380,179,528,569/421,574
  6. Step 6: Final answer
    x = 901,809.71

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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.