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Finding the Third Proportional to 387,983,776 and 840,545,216

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Solution

The third proportional to 387,983,776 and 840,545,216 is: 1,820,994,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,983,776 : 840,545,216 = 840,545,216 : x
  2. Step 2: Convert to fraction form
    387,983,776/840,545,216 = 840,545,216/x
  3. Step 3: Cross multiply
    387,983,776x = 840,545,216 × 840,545,216
  4. Step 4: Simplify right side
    387,983,776x = 706,516,260,140,486,656
  5. Step 5: Solve for x
    x = 706,516,260,140,486,656/387,983,776
  6. Step 6: Final answer
    x = 1,820,994,340.08

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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.