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Finding the Third Proportional to 390,855 and 856,527

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Solution

The third proportional to 390,855 and 856,527 is: 1,877,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,855 : 856,527 = 856,527 : x
  2. Step 2: Convert to fraction form
    390,855/856,527 = 856,527/x
  3. Step 3: Cross multiply
    390,855x = 856,527 × 856,527
  4. Step 4: Simplify right side
    390,855x = 733,638,501,729
  5. Step 5: Solve for x
    x = 733,638,501,729/390,855
  6. Step 6: Final answer
    x = 1,877,009.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.