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Finding the Third Proportional to 870,712 and 1,345,415

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Solution

The third proportional to 870,712 and 1,345,415 is: 2,078,921.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,712 : 1,345,415 = 1,345,415 : x
  2. Step 2: Convert to fraction form
    870,712/1,345,415 = 1,345,415/x
  3. Step 3: Cross multiply
    870,712x = 1,345,415 × 1,345,415
  4. Step 4: Simplify right side
    870,712x = 1,810,141,522,225
  5. Step 5: Solve for x
    x = 1,810,141,522,225/870,712
  6. Step 6: Final answer
    x = 2,078,921.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.