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Finding the Third Proportional to 5,390,175 and 7,884,621

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Solution

The third proportional to 5,390,175 and 7,884,621 is: 11,533,437.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390,175 : 7,884,621 = 7,884,621 : x
  2. Step 2: Convert to fraction form
    5,390,175/7,884,621 = 7,884,621/x
  3. Step 3: Cross multiply
    5,390,175x = 7,884,621 × 7,884,621
  4. Step 4: Simplify right side
    5,390,175x = 62,167,248,313,641
  5. Step 5: Solve for x
    x = 62,167,248,313,641/5,390,175
  6. Step 6: Final answer
    x = 11,533,437.84

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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.