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Finding the Third Proportional to 720,867,089 and 1,116,717,775.50

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Solution

The third proportional to 720,867,089 and 1,116,717,775.50 is: 1,729,942,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,867,089 : 1,116,717,775.50 = 1,116,717,775.50 : x
  2. Step 2: Convert to fraction form
    720,867,089/1,116,717,775.50 = 1,116,717,775.50/x
  3. Step 3: Cross multiply
    720,867,089x = 1,116,717,775.50 × 1,116,717,775.50
  4. Step 4: Simplify right side
    720,867,089x = 1,247,058,590,117,668,352
  5. Step 5: Solve for x
    x = 1,247,058,590,117,668,352/720,867,089
  6. Step 6: Final answer
    x = 1,729,942,466.71

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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.