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Finding the Third Proportional to 145,547,854 and 315,653,324

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Solution

The third proportional to 145,547,854 and 315,653,324 is: 684,565,372.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,547,854 : 315,653,324 = 315,653,324 : x
  2. Step 2: Convert to fraction form
    145,547,854/315,653,324 = 315,653,324/x
  3. Step 3: Cross multiply
    145,547,854x = 315,653,324 × 315,653,324
  4. Step 4: Simplify right side
    145,547,854x = 99,637,020,952,248,976
  5. Step 5: Solve for x
    x = 99,637,020,952,248,976/145,547,854
  6. Step 6: Final answer
    x = 684,565,372.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.