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Finding the Third Proportional to 369,111 and 578,262

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Solution

The third proportional to 369,111 and 578,262 is: 905,925.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,111 : 578,262 = 578,262 : x
  2. Step 2: Convert to fraction form
    369,111/578,262 = 578,262/x
  3. Step 3: Cross multiply
    369,111x = 578,262 × 578,262
  4. Step 4: Simplify right side
    369,111x = 334,386,940,644
  5. Step 5: Solve for x
    x = 334,386,940,644/369,111
  6. Step 6: Final answer
    x = 905,925.16

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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.