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Finding the Third Proportional to 402,176,287.69 and 865,979,972.44

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Solution

The third proportional to 402,176,287.69 and 865,979,972.44 is: 1,864,658,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,176,287.69 : 865,979,972.44 = 865,979,972.44 : x
  2. Step 2: Convert to fraction form
    402,176,287.69/865,979,972.44 = 865,979,972.44/x
  3. Step 3: Cross multiply
    402,176,287.69x = 865,979,972.44 × 865,979,972.44
  4. Step 4: Simplify right side
    402,176,287.69x = 749,921,312,662,853,248
  5. Step 5: Solve for x
    x = 749,921,312,662,853,248/402,176,287.69
  6. Step 6: Final answer
    x = 1,864,658,199.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.