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Finding the Third Proportional to 262,423,748 and 563,791,887

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Solution

The third proportional to 262,423,748 and 563,791,887 is: 1,211,252,008.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,423,748 : 563,791,887 = 563,791,887 : x
  2. Step 2: Convert to fraction form
    262,423,748/563,791,887 = 563,791,887/x
  3. Step 3: Cross multiply
    262,423,748x = 563,791,887 × 563,791,887
  4. Step 4: Simplify right side
    262,423,748x = 317,861,291,847,020,800
  5. Step 5: Solve for x
    x = 317,861,291,847,020,800/262,423,748
  6. Step 6: Final answer
    x = 1,211,252,008.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.