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Finding the Third Proportional to 423,386 and 915,028

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Solution

The third proportional to 423,386 and 915,028 is: 1,977,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,386 : 915,028 = 915,028 : x
  2. Step 2: Convert to fraction form
    423,386/915,028 = 915,028/x
  3. Step 3: Cross multiply
    423,386x = 915,028 × 915,028
  4. Step 4: Simplify right side
    423,386x = 837,276,240,784
  5. Step 5: Solve for x
    x = 837,276,240,784/423,386
  6. Step 6: Final answer
    x = 1,977,571.86

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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.