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Finding the Third Proportional to 737,234,316 and 1,583,876,196

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Solution

The third proportional to 737,234,316 and 1,583,876,196 is: 3,402,803,898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,234,316 : 1,583,876,196 = 1,583,876,196 : x
  2. Step 2: Convert to fraction form
    737,234,316/1,583,876,196 = 1,583,876,196/x
  3. Step 3: Cross multiply
    737,234,316x = 1,583,876,196 × 1,583,876,196
  4. Step 4: Simplify right side
    737,234,316x = 2,508,663,804,255,430,656
  5. Step 5: Solve for x
    x = 2,508,663,804,255,430,656/737,234,316
  6. Step 6: Final answer
    x = 3,402,803,898.04

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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.