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Finding the Third Proportional to 295,294,578 and 646,172,490

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Solution

The third proportional to 295,294,578 and 646,172,490 is: 1,413,974,105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,294,578 : 646,172,490 = 646,172,490 : x
  2. Step 2: Convert to fraction form
    295,294,578/646,172,490 = 646,172,490/x
  3. Step 3: Cross multiply
    295,294,578x = 646,172,490 × 646,172,490
  4. Step 4: Simplify right side
    295,294,578x = 417,538,886,832,800,128
  5. Step 5: Solve for x
    x = 417,538,886,832,800,128/295,294,578
  6. Step 6: Final answer
    x = 1,413,974,105.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.