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Finding the Third Proportional to 268,364 and 578,770

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Solution

The third proportional to 268,364 and 578,770 is: 1,248,210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,364 : 578,770 = 578,770 : x
  2. Step 2: Convert to fraction form
    268,364/578,770 = 578,770/x
  3. Step 3: Cross multiply
    268,364x = 578,770 × 578,770
  4. Step 4: Simplify right side
    268,364x = 334,974,712,900
  5. Step 5: Solve for x
    x = 334,974,712,900/268,364
  6. Step 6: Final answer
    x = 1,248,210.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.