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Finding the Third Proportional to 578,291,742 and 880,996,747.50

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Solution

The third proportional to 578,291,742 and 880,996,747.50 is: 1,342,151,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,291,742 : 880,996,747.50 = 880,996,747.50 : x
  2. Step 2: Convert to fraction form
    578,291,742/880,996,747.50 = 880,996,747.50/x
  3. Step 3: Cross multiply
    578,291,742x = 880,996,747.50 × 880,996,747.50
  4. Step 4: Simplify right side
    578,291,742x = 776,155,269,105,578,752
  5. Step 5: Solve for x
    x = 776,155,269,105,578,752/578,291,742
  6. Step 6: Final answer
    x = 1,342,151,742.34

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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.