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Finding the Third Proportional to 143,291,838 and 310,911,861

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Solution

The third proportional to 143,291,838 and 310,911,861 is: 674,610,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,291,838 : 310,911,861 = 310,911,861 : x
  2. Step 2: Convert to fraction form
    143,291,838/310,911,861 = 310,911,861/x
  3. Step 3: Cross multiply
    143,291,838x = 310,911,861 × 310,911,861
  4. Step 4: Simplify right side
    143,291,838x = 96,666,185,310,483,328
  5. Step 5: Solve for x
    x = 96,666,185,310,483,328/143,291,838
  6. Step 6: Final answer
    x = 674,610,547.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.