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Finding the Third Proportional to 870,658.50 and 1,319,155.13

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Solution

The third proportional to 870,658.50 and 1,319,155.13 is: 1,998,682.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,658.50 : 1,319,155.13 = 1,319,155.13 : x
  2. Step 2: Convert to fraction form
    870,658.50/1,319,155.13 = 1,319,155.13/x
  3. Step 3: Cross multiply
    870,658.50x = 1,319,155.13 × 1,319,155.13
  4. Step 4: Simplify right side
    870,658.50x = 1,740,170,243,813.77
  5. Step 5: Solve for x
    x = 1,740,170,243,813.77/870,658.50
  6. Step 6: Final answer
    x = 1,998,682.89

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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.