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Finding the Third Proportional to 781,226,216 and 1,063,896,779.50

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Solution

The third proportional to 781,226,216 and 1,063,896,779.50 is: 1,448,845,845.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,226,216 : 1,063,896,779.50 = 1,063,896,779.50 : x
  2. Step 2: Convert to fraction form
    781,226,216/1,063,896,779.50 = 1,063,896,779.50/x
  3. Step 3: Cross multiply
    781,226,216x = 1,063,896,779.50 × 1,063,896,779.50
  4. Step 4: Simplify right side
    781,226,216x = 1,131,876,357,430,471,680
  5. Step 5: Solve for x
    x = 1,131,876,357,430,471,680/781,226,216
  6. Step 6: Final answer
    x = 1,448,845,845.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.