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Finding the Third Proportional to 870,712 and 1,319,213

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Solution

The third proportional to 870,712 and 1,319,213 is: 1,998,735.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,712 : 1,319,213 = 1,319,213 : x
  2. Step 2: Convert to fraction form
    870,712/1,319,213 = 1,319,213/x
  3. Step 3: Cross multiply
    870,712x = 1,319,213 × 1,319,213
  4. Step 4: Simplify right side
    870,712x = 1,740,322,939,369
  5. Step 5: Solve for x
    x = 1,740,322,939,369/870,712
  6. Step 6: Final answer
    x = 1,998,735.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.