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Finding the Third Proportional to 418,526 and 904,120

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Solution

The third proportional to 418,526 and 904,120 is: 1,953,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,526 : 904,120 = 904,120 : x
  2. Step 2: Convert to fraction form
    418,526/904,120 = 904,120/x
  3. Step 3: Cross multiply
    418,526x = 904,120 × 904,120
  4. Step 4: Simplify right side
    418,526x = 817,432,974,400
  5. Step 5: Solve for x
    x = 817,432,974,400/418,526
  6. Step 6: Final answer
    x = 1,953,123.52

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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.