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Finding the Third Proportional to 369,168 and 578,359

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Solution

The third proportional to 369,168 and 578,359 is: 906,089.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,168 : 578,359 = 578,359 : x
  2. Step 2: Convert to fraction form
    369,168/578,359 = 578,359/x
  3. Step 3: Cross multiply
    369,168x = 578,359 × 578,359
  4. Step 4: Simplify right side
    369,168x = 334,499,132,881
  5. Step 5: Solve for x
    x = 334,499,132,881/369,168
  6. Step 6: Final answer
    x = 906,089.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.