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Finding the Third Proportional to 897,617 and 1,311,708

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Solution

The third proportional to 897,617 and 1,311,708 is: 1,916,828.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,617 : 1,311,708 = 1,311,708 : x
  2. Step 2: Convert to fraction form
    897,617/1,311,708 = 1,311,708/x
  3. Step 3: Cross multiply
    897,617x = 1,311,708 × 1,311,708
  4. Step 4: Simplify right side
    897,617x = 1,720,577,877,264
  5. Step 5: Solve for x
    x = 1,720,577,877,264/897,617
  6. Step 6: Final answer
    x = 1,916,828.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.