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Finding the Third Proportional to 5,258,436.47 and 7,866,639

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Solution

The third proportional to 5,258,436.47 and 7,866,639 is: 11,768,518.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258,436.47 : 7,866,639 = 7,866,639 : x
  2. Step 2: Convert to fraction form
    5,258,436.47/7,866,639 = 7,866,639/x
  3. Step 3: Cross multiply
    5,258,436.47x = 7,866,639 × 7,866,639
  4. Step 4: Simplify right side
    5,258,436.47x = 61,884,009,156,321
  5. Step 5: Solve for x
    x = 61,884,009,156,321/5,258,436.47
  6. Step 6: Final answer
    x = 11,768,518.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.