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Finding the Third Proportional to 386,604 and 578,106

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Solution

The third proportional to 386,604 and 578,106 is: 864,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,604 : 578,106 = 578,106 : x
  2. Step 2: Convert to fraction form
    386,604/578,106 = 578,106/x
  3. Step 3: Cross multiply
    386,604x = 578,106 × 578,106
  4. Step 4: Simplify right side
    386,604x = 334,206,547,236
  5. Step 5: Solve for x
    x = 334,206,547,236/386,604
  6. Step 6: Final answer
    x = 864,467.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.