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Finding the Third Proportional to 358,915 and 788,587

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Solution

The third proportional to 358,915 and 788,587 is: 1,732,637.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,915 : 788,587 = 788,587 : x
  2. Step 2: Convert to fraction form
    358,915/788,587 = 788,587/x
  3. Step 3: Cross multiply
    358,915x = 788,587 × 788,587
  4. Step 4: Simplify right side
    358,915x = 621,869,456,569
  5. Step 5: Solve for x
    x = 621,869,456,569/358,915
  6. Step 6: Final answer
    x = 1,732,637.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.