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Finding the Third Proportional to 870,289 and 1,267,561.50

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Solution

The third proportional to 870,289 and 1,267,561.50 is: 1,846,182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,289 : 1,267,561.50 = 1,267,561.50 : x
  2. Step 2: Convert to fraction form
    870,289/1,267,561.50 = 1,267,561.50/x
  3. Step 3: Cross multiply
    870,289x = 1,267,561.50 × 1,267,561.50
  4. Step 4: Simplify right side
    870,289x = 1,606,712,156,282.25
  5. Step 5: Solve for x
    x = 1,606,712,156,282.25/870,289
  6. Step 6: Final answer
    x = 1,846,182.31

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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.