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Finding the Third Proportional to 583,634,160 and 910,785,384

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Solution

The third proportional to 583,634,160 and 910,785,384 is: 1,421,318,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,634,160 : 910,785,384 = 910,785,384 : x
  2. Step 2: Convert to fraction form
    583,634,160/910,785,384 = 910,785,384/x
  3. Step 3: Cross multiply
    583,634,160x = 910,785,384 × 910,785,384
  4. Step 4: Simplify right side
    583,634,160x = 829,530,015,708,027,392
  5. Step 5: Solve for x
    x = 829,530,015,708,027,392/583,634,160
  6. Step 6: Final answer
    x = 1,421,318,477.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.