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Finding the Third Proportional to 67,896,838 and 138,931,294

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Solution

The third proportional to 67,896,838 and 138,931,294 is: 284,282,818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,896,838 : 138,931,294 = 138,931,294 : x
  2. Step 2: Convert to fraction form
    67,896,838/138,931,294 = 138,931,294/x
  3. Step 3: Cross multiply
    67,896,838x = 138,931,294 × 138,931,294
  4. Step 4: Simplify right side
    67,896,838x = 19,301,904,452,514,436
  5. Step 5: Solve for x
    x = 19,301,904,452,514,436/67,896,838
  6. Step 6: Final answer
    x = 284,282,818.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.