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Finding the Third Proportional to 390,753 and 851,490

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Solution

The third proportional to 390,753 and 851,490 is: 1,855,482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,753 : 851,490 = 851,490 : x
  2. Step 2: Convert to fraction form
    390,753/851,490 = 851,490/x
  3. Step 3: Cross multiply
    390,753x = 851,490 × 851,490
  4. Step 4: Simplify right side
    390,753x = 725,035,220,100
  5. Step 5: Solve for x
    x = 725,035,220,100/390,753
  6. Step 6: Final answer
    x = 1,855,482.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.