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Finding the Third Proportional to 473,752 and 1,010,494

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Solution

The third proportional to 473,752 and 1,010,494 is: 2,155,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,752 : 1,010,494 = 1,010,494 : x
  2. Step 2: Convert to fraction form
    473,752/1,010,494 = 1,010,494/x
  3. Step 3: Cross multiply
    473,752x = 1,010,494 × 1,010,494
  4. Step 4: Simplify right side
    473,752x = 1,021,098,124,036
  5. Step 5: Solve for x
    x = 1,021,098,124,036/473,752
  6. Step 6: Final answer
    x = 2,155,343.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.