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Finding the Third Proportional to 913,843,316 and 1,392,191,742

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Solution

The third proportional to 913,843,316 and 1,392,191,742 is: 2,120,930,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,843,316 : 1,392,191,742 = 1,392,191,742 : x
  2. Step 2: Convert to fraction form
    913,843,316/1,392,191,742 = 1,392,191,742/x
  3. Step 3: Cross multiply
    913,843,316x = 1,392,191,742 × 1,392,191,742
  4. Step 4: Simplify right side
    913,843,316x = 1,938,197,846,492,994,560
  5. Step 5: Solve for x
    x = 1,938,197,846,492,994,560/913,843,316
  6. Step 6: Final answer
    x = 2,120,930,155.70

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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.