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Finding the Third Proportional to 415,370 and 900,724

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Solution

The third proportional to 415,370 and 900,724 is: 1,953,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,370 : 900,724 = 900,724 : x
  2. Step 2: Convert to fraction form
    415,370/900,724 = 900,724/x
  3. Step 3: Cross multiply
    415,370x = 900,724 × 900,724
  4. Step 4: Simplify right side
    415,370x = 811,303,724,176
  5. Step 5: Solve for x
    x = 811,303,724,176/415,370
  6. Step 6: Final answer
    x = 1,953,207.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.