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Finding the Third Proportional to 317,562,422.91 and 687,893,892.19

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Solution

The third proportional to 317,562,422.91 and 687,893,892.19 is: 1,490,094,459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,562,422.91 : 687,893,892.19 = 687,893,892.19 : x
  2. Step 2: Convert to fraction form
    317,562,422.91/687,893,892.19 = 687,893,892.19/x
  3. Step 3: Cross multiply
    317,562,422.91x = 687,893,892.19 × 687,893,892.19
  4. Step 4: Simplify right side
    317,562,422.91x = 473,198,006,908,867,904
  5. Step 5: Solve for x
    x = 473,198,006,908,867,904/317,562,422.91
  6. Step 6: Final answer
    x = 1,490,094,459.47

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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.