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Finding the Third Proportional to 870,724 and 1,344,905

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Solution

The third proportional to 870,724 and 1,344,905 is: 2,077,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,724 : 1,344,905 = 1,344,905 : x
  2. Step 2: Convert to fraction form
    870,724/1,344,905 = 1,344,905/x
  3. Step 3: Cross multiply
    870,724x = 1,344,905 × 1,344,905
  4. Step 4: Simplify right side
    870,724x = 1,808,769,459,025
  5. Step 5: Solve for x
    x = 1,808,769,459,025/870,724
  6. Step 6: Final answer
    x = 2,077,316.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.